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Simplifying -5(3x + 4) + -10x = 12(x + -9) + 3x Reorder the terms: -5(4 + 3x) + -10x = 12(x + -9) + 3x (4 * -5 + 3x * -5) + -10x = 12(x + -9) + 3x (-20 + -15x) + -10x = 12(x + -9) + 3x Combine like terms: -15x + -10x = -25x -20 + -25x = 12(x + -9) + 3x Reorder the terms: -20 + -25x = 12(-9 + x) + 3x -20 + -25x = (-9 * 12 + x * 12) + 3x -20 + -25x = (-108 + 12x) + 3x Combine like terms: 12x + 3x = 15x -20 + -25x = -108 + 15x Solving -20 + -25x = -108 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -20 + -25x + -15x = -108 + 15x + -15x Combine like terms: -25x + -15x = -40x -20 + -40x = -108 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + -40x = -108 + 0 -20 + -40x = -108 Add '20' to each side of the equation. -20 + 20 + -40x = -108 + 20 Combine like terms: -20 + 20 = 0 0 + -40x = -108 + 20 -40x = -108 + 20 Combine like terms: -108 + 20 = -88 -40x = -88 Divide each side by '-40'. x = 2.2 Simplifying x = 2.2
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