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Simplifying 12(3x + -1) = 8(3x + 1) + 64 Reorder the terms: 12(-1 + 3x) = 8(3x + 1) + 64 (-1 * 12 + 3x * 12) = 8(3x + 1) + 64 (-12 + 36x) = 8(3x + 1) + 64 Reorder the terms: -12 + 36x = 8(1 + 3x) + 64 -12 + 36x = (1 * 8 + 3x * 8) + 64 -12 + 36x = (8 + 24x) + 64 Reorder the terms: -12 + 36x = 8 + 64 + 24x Combine like terms: 8 + 64 = 72 -12 + 36x = 72 + 24x Solving -12 + 36x = 72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + 36x + -24x = 72 + 24x + -24x Combine like terms: 36x + -24x = 12x -12 + 12x = 72 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + 12x = 72 + 0 -12 + 12x = 72 Add '12' to each side of the equation. -12 + 12 + 12x = 72 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 72 + 12 12x = 72 + 12 Combine like terms: 72 + 12 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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