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Simplifying (5x + -3) + -1(x + -8) = 2x + -7 Reorder the terms: (-3 + 5x) + -1(x + -8) = 2x + -7 Remove parenthesis around (-3 + 5x) -3 + 5x + -1(x + -8) = 2x + -7 Reorder the terms: -3 + 5x + -1(-8 + x) = 2x + -7 -3 + 5x + (-8 * -1 + x * -1) = 2x + -7 -3 + 5x + (8 + -1x) = 2x + -7 Reorder the terms: -3 + 8 + 5x + -1x = 2x + -7 Combine like terms: -3 + 8 = 5 5 + 5x + -1x = 2x + -7 Combine like terms: 5x + -1x = 4x 5 + 4x = 2x + -7 Reorder the terms: 5 + 4x = -7 + 2x Solving 5 + 4x = -7 + 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. 5 + 4x + -2x = -7 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = -7 + 0 5 + 2x = -7 Add '-5' to each side of the equation. 5 + -5 + 2x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -7 + -5 2x = -7 + -5 Combine like terms: -7 + -5 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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