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Simplifying 2x + 8 + -1(x + -4) = 2(2x + -3) Reorder the terms: 2x + 8 + -1(-4 + x) = 2(2x + -3) 2x + 8 + (-4 * -1 + x * -1) = 2(2x + -3) 2x + 8 + (4 + -1x) = 2(2x + -3) Reorder the terms: 8 + 4 + 2x + -1x = 2(2x + -3) Combine like terms: 8 + 4 = 12 12 + 2x + -1x = 2(2x + -3) Combine like terms: 2x + -1x = 1x 12 + 1x = 2(2x + -3) Reorder the terms: 12 + 1x = 2(-3 + 2x) 12 + 1x = (-3 * 2 + 2x * 2) 12 + 1x = (-6 + 4x) Solving 12 + 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. 12 + 1x + -4x = -6 + 4x + -4x Combine like terms: 1x + -4x = -3x 12 + -3x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -3x = -6 + 0 12 + -3x = -6 Add '-12' to each side of the equation. 12 + -12 + -3x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -6 + -12 -3x = -6 + -12 Combine like terms: -6 + -12 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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