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Simplifying 6(x + 8) + -3(x + 7) + -1(2x + 26) = 4(x + -5) + 2(8 + -1x) + -20 Reorder the terms: 6(8 + x) + -3(x + 7) + -1(2x + 26) = 4(x + -5) + 2(8 + -1x) + -20 (8 * 6 + x * 6) + -3(x + 7) + -1(2x + 26) = 4(x + -5) + 2(8 + -1x) + -20 (48 + 6x) + -3(x + 7) + -1(2x + 26) = 4(x + -5) + 2(8 + -1x) + -20 Reorder the terms: 48 + 6x + -3(7 + x) + -1(2x + 26) = 4(x + -5) + 2(8 + -1x) + -20 48 + 6x + (7 * -3 + x * -3) + -1(2x + 26) = 4(x + -5) + 2(8 + -1x) + -20 48 + 6x + (-21 + -3x) + -1(2x + 26) = 4(x + -5) + 2(8 + -1x) + -20 Reorder the terms: 48 + 6x + -21 + -3x + -1(26 + 2x) = 4(x + -5) + 2(8 + -1x) + -20 48 + 6x + -21 + -3x + (26 * -1 + 2x * -1) = 4(x + -5) + 2(8 + -1x) + -20 48 + 6x + -21 + -3x + (-26 + -2x) = 4(x + -5) + 2(8 + -1x) + -20 Reorder the terms: 48 + -21 + -26 + 6x + -3x + -2x = 4(x + -5) + 2(8 + -1x) + -20 Combine like terms: 48 + -21 = 27 27 + -26 + 6x + -3x + -2x = 4(x + -5) + 2(8 + -1x) + -20 Combine like terms: 27 + -26 = 1 1 + 6x + -3x + -2x = 4(x + -5) + 2(8 + -1x) + -20 Combine like terms: 6x + -3x = 3x 1 + 3x + -2x = 4(x + -5) + 2(8 + -1x) + -20 Combine like terms: 3x + -2x = 1x 1 + 1x = 4(x + -5) + 2(8 + -1x) + -20 Reorder the terms: 1 + 1x = 4(-5 + x) + 2(8 + -1x) + -20 1 + 1x = (-5 * 4 + x * 4) + 2(8 + -1x) + -20 1 + 1x = (-20 + 4x) + 2(8 + -1x) + -20 1 + 1x = -20 + 4x + (8 * 2 + -1x * 2) + -20 1 + 1x = -20 + 4x + (16 + -2x) + -20 Reorder the terms: 1 + 1x = -20 + 16 + -20 + 4x + -2x Combine like terms: -20 + 16 = -4 1 + 1x = -4 + -20 + 4x + -2x Combine like terms: -4 + -20 = -24 1 + 1x = -24 + 4x + -2x Combine like terms: 4x + -2x = 2x 1 + 1x = -24 + 2x Solving 1 + 1x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 1x + -2x = -24 + 2x + -2x Combine like terms: 1x + -2x = -1x 1 + -1x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -1x = -24 + 0 1 + -1x = -24 Add '-1' to each side of the equation. 1 + -1 + -1x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -24 + -1 -1x = -24 + -1 Combine like terms: -24 + -1 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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