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Simplifying -3(x + 5) + 24 = 17 + -4x Reorder the terms: -3(5 + x) + 24 = 17 + -4x (5 * -3 + x * -3) + 24 = 17 + -4x (-15 + -3x) + 24 = 17 + -4x Reorder the terms: -15 + 24 + -3x = 17 + -4x Combine like terms: -15 + 24 = 9 9 + -3x = 17 + -4x Solving 9 + -3x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + -3x + 4x = 17 + -4x + 4x Combine like terms: -3x + 4x = 1x 9 + 1x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 1x = 17 + 0 9 + 1x = 17 Add '-9' to each side of the equation. 9 + -9 + 1x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 17 + -9 1x = 17 + -9 Combine like terms: 17 + -9 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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