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Simplifying 2x + 8 + -1(x + -7) = 2(2x + -3) Reorder the terms: 2x + 8 + -1(-7 + x) = 2(2x + -3) 2x + 8 + (-7 * -1 + x * -1) = 2(2x + -3) 2x + 8 + (7 + -1x) = 2(2x + -3) Reorder the terms: 8 + 7 + 2x + -1x = 2(2x + -3) Combine like terms: 8 + 7 = 15 15 + 2x + -1x = 2(2x + -3) Combine like terms: 2x + -1x = 1x 15 + 1x = 2(2x + -3) Reorder the terms: 15 + 1x = 2(-3 + 2x) 15 + 1x = (-3 * 2 + 2x * 2) 15 + 1x = (-6 + 4x) Solving 15 + 1x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 1x + -4x = -6 + 4x + -4x Combine like terms: 1x + -4x = -3x 15 + -3x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -3x = -6 + 0 15 + -3x = -6 Add '-15' to each side of the equation. 15 + -15 + -3x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -6 + -15 -3x = -6 + -15 Combine like terms: -6 + -15 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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