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Simplifying 5(x + 8) + -1(4 + -8x) = 12x Reorder the terms: 5(8 + x) + -1(4 + -8x) = 12x (8 * 5 + x * 5) + -1(4 + -8x) = 12x (40 + 5x) + -1(4 + -8x) = 12x 40 + 5x + (4 * -1 + -8x * -1) = 12x 40 + 5x + (-4 + 8x) = 12x Reorder the terms: 40 + -4 + 5x + 8x = 12x Combine like terms: 40 + -4 = 36 36 + 5x + 8x = 12x Combine like terms: 5x + 8x = 13x 36 + 13x = 12x Solving 36 + 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. 36 + 13x + -12x = 12x + -12x Combine like terms: 13x + -12x = 1x 36 + 1x = 12x + -12x Combine like terms: 12x + -12x = 0 36 + 1x = 0 Add '-36' to each side of the equation. 36 + -36 + 1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 0 + -36 1x = 0 + -36 Combine like terms: 0 + -36 = -36 1x = -36 Divide each side by '1'. x = -36 Simplifying x = -36
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