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Simplifying 4(x + 9) + -3(x + -16) = 24 Reorder the terms: 4(9 + x) + -3(x + -16) = 24 (9 * 4 + x * 4) + -3(x + -16) = 24 (36 + 4x) + -3(x + -16) = 24 Reorder the terms: 36 + 4x + -3(-16 + x) = 24 36 + 4x + (-16 * -3 + x * -3) = 24 36 + 4x + (48 + -3x) = 24 Reorder the terms: 36 + 48 + 4x + -3x = 24 Combine like terms: 36 + 48 = 84 84 + 4x + -3x = 24 Combine like terms: 4x + -3x = 1x 84 + 1x = 24 Solving 84 + 1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 1x = 24 + -84 Combine like terms: 84 + -84 = 0 0 + 1x = 24 + -84 1x = 24 + -84 Combine like terms: 24 + -84 = -60 1x = -60 Divide each side by '1'. x = -60 Simplifying x = -60
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