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Simplifying -5(x + -1) + -3(2x + -3) = -12(x + -4) + -5 Reorder the terms: -5(-1 + x) + -3(2x + -3) = -12(x + -4) + -5 (-1 * -5 + x * -5) + -3(2x + -3) = -12(x + -4) + -5 (5 + -5x) + -3(2x + -3) = -12(x + -4) + -5 Reorder the terms: 5 + -5x + -3(-3 + 2x) = -12(x + -4) + -5 5 + -5x + (-3 * -3 + 2x * -3) = -12(x + -4) + -5 5 + -5x + (9 + -6x) = -12(x + -4) + -5 Reorder the terms: 5 + 9 + -5x + -6x = -12(x + -4) + -5 Combine like terms: 5 + 9 = 14 14 + -5x + -6x = -12(x + -4) + -5 Combine like terms: -5x + -6x = -11x 14 + -11x = -12(x + -4) + -5 Reorder the terms: 14 + -11x = -12(-4 + x) + -5 14 + -11x = (-4 * -12 + x * -12) + -5 14 + -11x = (48 + -12x) + -5 Reorder the terms: 14 + -11x = 48 + -5 + -12x Combine like terms: 48 + -5 = 43 14 + -11x = 43 + -12x Solving 14 + -11x = 43 + -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. 14 + -11x + 12x = 43 + -12x + 12x Combine like terms: -11x + 12x = 1x 14 + 1x = 43 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 1x = 43 + 0 14 + 1x = 43 Add '-14' to each side of the equation. 14 + -14 + 1x = 43 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 43 + -14 1x = 43 + -14 Combine like terms: 43 + -14 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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