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Simplifying 2(x + 2) + -8(x + -3) = 5(5 + -1x) + -1(6 + -2x) Reorder the terms: 2(2 + x) + -8(x + -3) = 5(5 + -1x) + -1(6 + -2x) (2 * 2 + x * 2) + -8(x + -3) = 5(5 + -1x) + -1(6 + -2x) (4 + 2x) + -8(x + -3) = 5(5 + -1x) + -1(6 + -2x) Reorder the terms: 4 + 2x + -8(-3 + x) = 5(5 + -1x) + -1(6 + -2x) 4 + 2x + (-3 * -8 + x * -8) = 5(5 + -1x) + -1(6 + -2x) 4 + 2x + (24 + -8x) = 5(5 + -1x) + -1(6 + -2x) Reorder the terms: 4 + 24 + 2x + -8x = 5(5 + -1x) + -1(6 + -2x) Combine like terms: 4 + 24 = 28 28 + 2x + -8x = 5(5 + -1x) + -1(6 + -2x) Combine like terms: 2x + -8x = -6x 28 + -6x = 5(5 + -1x) + -1(6 + -2x) 28 + -6x = (5 * 5 + -1x * 5) + -1(6 + -2x) 28 + -6x = (25 + -5x) + -1(6 + -2x) 28 + -6x = 25 + -5x + (6 * -1 + -2x * -1) 28 + -6x = 25 + -5x + (-6 + 2x) Reorder the terms: 28 + -6x = 25 + -6 + -5x + 2x Combine like terms: 25 + -6 = 19 28 + -6x = 19 + -5x + 2x Combine like terms: -5x + 2x = -3x 28 + -6x = 19 + -3x Solving 28 + -6x = 19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 28 + -6x + 3x = 19 + -3x + 3x Combine like terms: -6x + 3x = -3x 28 + -3x = 19 + -3x + 3x Combine like terms: -3x + 3x = 0 28 + -3x = 19 + 0 28 + -3x = 19 Add '-28' to each side of the equation. 28 + -28 + -3x = 19 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 19 + -28 -3x = 19 + -28 Combine like terms: 19 + -28 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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