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Simplifying -3(4x + 4) + 7(5 + 6x) = 12 + 31x Reorder the terms: -3(4 + 4x) + 7(5 + 6x) = 12 + 31x (4 * -3 + 4x * -3) + 7(5 + 6x) = 12 + 31x (-12 + -12x) + 7(5 + 6x) = 12 + 31x -12 + -12x + (5 * 7 + 6x * 7) = 12 + 31x -12 + -12x + (35 + 42x) = 12 + 31x Reorder the terms: -12 + 35 + -12x + 42x = 12 + 31x Combine like terms: -12 + 35 = 23 23 + -12x + 42x = 12 + 31x Combine like terms: -12x + 42x = 30x 23 + 30x = 12 + 31x Solving 23 + 30x = 12 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 23 + 30x + -31x = 12 + 31x + -31x Combine like terms: 30x + -31x = -1x 23 + -1x = 12 + 31x + -31x Combine like terms: 31x + -31x = 0 23 + -1x = 12 + 0 23 + -1x = 12 Add '-23' to each side of the equation. 23 + -23 + -1x = 12 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 12 + -23 -1x = 12 + -23 Combine like terms: 12 + -23 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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