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Simplifying 24 = -4(x + -4) + 9(x + -3) Reorder the terms: 24 = -4(-4 + x) + 9(x + -3) 24 = (-4 * -4 + x * -4) + 9(x + -3) 24 = (16 + -4x) + 9(x + -3) Reorder the terms: 24 = 16 + -4x + 9(-3 + x) 24 = 16 + -4x + (-3 * 9 + x * 9) 24 = 16 + -4x + (-27 + 9x) Reorder the terms: 24 = 16 + -27 + -4x + 9x Combine like terms: 16 + -27 = -11 24 = -11 + -4x + 9x Combine like terms: -4x + 9x = 5x 24 = -11 + 5x Solving 24 = -11 + 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. 24 + -5x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -5x = -11 + 0 24 + -5x = -11 Add '-24' to each side of the equation. 24 + -24 + -5x = -11 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = -11 + -24 -5x = -11 + -24 Combine like terms: -11 + -24 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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