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Simplifying 3(12 + -1x) + -4x = 2(11 + -1x) + 9 (12 * 3 + -1x * 3) + -4x = 2(11 + -1x) + 9 (36 + -3x) + -4x = 2(11 + -1x) + 9 Combine like terms: -3x + -4x = -7x 36 + -7x = 2(11 + -1x) + 9 36 + -7x = (11 * 2 + -1x * 2) + 9 36 + -7x = (22 + -2x) + 9 Reorder the terms: 36 + -7x = 22 + 9 + -2x Combine like terms: 22 + 9 = 31 36 + -7x = 31 + -2x Solving 36 + -7x = 31 + -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. 36 + -7x + 2x = 31 + -2x + 2x Combine like terms: -7x + 2x = -5x 36 + -5x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + -5x = 31 + 0 36 + -5x = 31 Add '-36' to each side of the equation. 36 + -36 + -5x = 31 + -36 Combine like terms: 36 + -36 = 0 0 + -5x = 31 + -36 -5x = 31 + -36 Combine like terms: 31 + -36 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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