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Simplifying 7(x + 2) + -3(x + -2) = 8(x + -1) Reorder the terms: 7(2 + x) + -3(x + -2) = 8(x + -1) (2 * 7 + x * 7) + -3(x + -2) = 8(x + -1) (14 + 7x) + -3(x + -2) = 8(x + -1) Reorder the terms: 14 + 7x + -3(-2 + x) = 8(x + -1) 14 + 7x + (-2 * -3 + x * -3) = 8(x + -1) 14 + 7x + (6 + -3x) = 8(x + -1) Reorder the terms: 14 + 6 + 7x + -3x = 8(x + -1) Combine like terms: 14 + 6 = 20 20 + 7x + -3x = 8(x + -1) Combine like terms: 7x + -3x = 4x 20 + 4x = 8(x + -1) Reorder the terms: 20 + 4x = 8(-1 + x) 20 + 4x = (-1 * 8 + x * 8) 20 + 4x = (-8 + 8x) Solving 20 + 4x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + 4x + -8x = -8 + 8x + -8x Combine like terms: 4x + -8x = -4x 20 + -4x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -4x = -8 + 0 20 + -4x = -8 Add '-20' to each side of the equation. 20 + -20 + -4x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -8 + -20 -4x = -8 + -20 Combine like terms: -8 + -20 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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