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Simplifying 3x + 2 + 4(1 + -1x) = 5(1 + -2x) + -12 3x + 2 + (1 * 4 + -1x * 4) = 5(1 + -2x) + -12 3x + 2 + (4 + -4x) = 5(1 + -2x) + -12 Reorder the terms: 2 + 4 + 3x + -4x = 5(1 + -2x) + -12 Combine like terms: 2 + 4 = 6 6 + 3x + -4x = 5(1 + -2x) + -12 Combine like terms: 3x + -4x = -1x 6 + -1x = 5(1 + -2x) + -12 6 + -1x = (1 * 5 + -2x * 5) + -12 6 + -1x = (5 + -10x) + -12 Reorder the terms: 6 + -1x = 5 + -12 + -10x Combine like terms: 5 + -12 = -7 6 + -1x = -7 + -10x Solving 6 + -1x = -7 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + -1x + 10x = -7 + -10x + 10x Combine like terms: -1x + 10x = 9x 6 + 9x = -7 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 9x = -7 + 0 6 + 9x = -7 Add '-6' to each side of the equation. 6 + -6 + 9x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -7 + -6 9x = -7 + -6 Combine like terms: -7 + -6 = -13 9x = -13 Divide each side by '9'. x = -1.444444444 Simplifying x = -1.444444444
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