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Simplifying 10 = -3(24 + -1x) + 2(x + -4) 10 = (24 * -3 + -1x * -3) + 2(x + -4) 10 = (-72 + 3x) + 2(x + -4) Reorder the terms: 10 = -72 + 3x + 2(-4 + x) 10 = -72 + 3x + (-4 * 2 + x * 2) 10 = -72 + 3x + (-8 + 2x) Reorder the terms: 10 = -72 + -8 + 3x + 2x Combine like terms: -72 + -8 = -80 10 = -80 + 3x + 2x Combine like terms: 3x + 2x = 5x 10 = -80 + 5x Solving 10 = -80 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -5x = -80 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -5x = -80 + 0 10 + -5x = -80 Add '-10' to each side of the equation. 10 + -10 + -5x = -80 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -80 + -10 -5x = -80 + -10 Combine like terms: -80 + -10 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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