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Simplifying 3x + -2(x + -4) = 2(x + 12) + -20 Reorder the terms: 3x + -2(-4 + x) = 2(x + 12) + -20 3x + (-4 * -2 + x * -2) = 2(x + 12) + -20 3x + (8 + -2x) = 2(x + 12) + -20 Reorder the terms: 8 + 3x + -2x = 2(x + 12) + -20 Combine like terms: 3x + -2x = 1x 8 + 1x = 2(x + 12) + -20 Reorder the terms: 8 + 1x = 2(12 + x) + -20 8 + 1x = (12 * 2 + x * 2) + -20 8 + 1x = (24 + 2x) + -20 Reorder the terms: 8 + 1x = 24 + -20 + 2x Combine like terms: 24 + -20 = 4 8 + 1x = 4 + 2x Solving 8 + 1x = 4 + 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. 8 + 1x + -2x = 4 + 2x + -2x Combine like terms: 1x + -2x = -1x 8 + -1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -1x = 4 + 0 8 + -1x = 4 Add '-8' to each side of the equation. 8 + -8 + -1x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 4 + -8 -1x = 4 + -8 Combine like terms: 4 + -8 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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