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Simplifying 2x + 3(5 + -1x) + -12 = 4(4x + 2) 2x + (5 * 3 + -1x * 3) + -12 = 4(4x + 2) 2x + (15 + -3x) + -12 = 4(4x + 2) Reorder the terms: 15 + -12 + 2x + -3x = 4(4x + 2) Combine like terms: 15 + -12 = 3 3 + 2x + -3x = 4(4x + 2) Combine like terms: 2x + -3x = -1x 3 + -1x = 4(4x + 2) Reorder the terms: 3 + -1x = 4(2 + 4x) 3 + -1x = (2 * 4 + 4x * 4) 3 + -1x = (8 + 16x) Solving 3 + -1x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 3 + -1x + -16x = 8 + 16x + -16x Combine like terms: -1x + -16x = -17x 3 + -17x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 3 + -17x = 8 + 0 3 + -17x = 8 Add '-3' to each side of the equation. 3 + -3 + -17x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -17x = 8 + -3 -17x = 8 + -3 Combine like terms: 8 + -3 = 5 -17x = 5 Divide each side by '-17'. x = -0.2941176471 Simplifying x = -0.2941176471
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