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Simplifying -4(x + 6) + 33 = 15 + -5x Reorder the terms: -4(6 + x) + 33 = 15 + -5x (6 * -4 + x * -4) + 33 = 15 + -5x (-24 + -4x) + 33 = 15 + -5x Reorder the terms: -24 + 33 + -4x = 15 + -5x Combine like terms: -24 + 33 = 9 9 + -4x = 15 + -5x Solving 9 + -4x = 15 + -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. 9 + -4x + 5x = 15 + -5x + 5x Combine like terms: -4x + 5x = 1x 9 + 1x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 1x = 15 + 0 9 + 1x = 15 Add '-9' to each side of the equation. 9 + -9 + 1x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 15 + -9 1x = 15 + -9 Combine like terms: 15 + -9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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