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Simplifying 2x + -1(3x + -4) = 5 + 2(x + 4) Reorder the terms: 2x + -1(-4 + 3x) = 5 + 2(x + 4) 2x + (-4 * -1 + 3x * -1) = 5 + 2(x + 4) 2x + (4 + -3x) = 5 + 2(x + 4) Reorder the terms: 4 + 2x + -3x = 5 + 2(x + 4) Combine like terms: 2x + -3x = -1x 4 + -1x = 5 + 2(x + 4) Reorder the terms: 4 + -1x = 5 + 2(4 + x) 4 + -1x = 5 + (4 * 2 + x * 2) 4 + -1x = 5 + (8 + 2x) Combine like terms: 5 + 8 = 13 4 + -1x = 13 + 2x Solving 4 + -1x = 13 + 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. 4 + -1x + -2x = 13 + 2x + -2x Combine like terms: -1x + -2x = -3x 4 + -3x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -3x = 13 + 0 4 + -3x = 13 Add '-4' to each side of the equation. 4 + -4 + -3x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 13 + -4 -3x = 13 + -4 Combine like terms: 13 + -4 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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