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Simplifying 8(x + 8) + -1(6 + -5x) = 12x Reorder the terms: 8(8 + x) + -1(6 + -5x) = 12x (8 * 8 + x * 8) + -1(6 + -5x) = 12x (64 + 8x) + -1(6 + -5x) = 12x 64 + 8x + (6 * -1 + -5x * -1) = 12x 64 + 8x + (-6 + 5x) = 12x Reorder the terms: 64 + -6 + 8x + 5x = 12x Combine like terms: 64 + -6 = 58 58 + 8x + 5x = 12x Combine like terms: 8x + 5x = 13x 58 + 13x = 12x Solving 58 + 13x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 58 + 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x 58 + 1x = 12x + -12x Combine like terms: 12x + -12x = 0 58 + 1x = 0 Add '-58' to each side of the equation. 58 + -58 + 1x = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 1x = 0 + -58 1x = 0 + -58 Combine like terms: 0 + -58 = -58 1x = -58 Divide each side by '1'. x = -58 Simplifying x = -58
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