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Simplifying 3(x + 5) = -3x + -33 Reorder the terms: 3(5 + x) = -3x + -33 (5 * 3 + x * 3) = -3x + -33 (15 + 3x) = -3x + -33 Reorder the terms: 15 + 3x = -33 + -3x Solving 15 + 3x = -33 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 15 + 3x + 3x = -33 + -3x + 3x Combine like terms: 3x + 3x = 6x 15 + 6x = -33 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 6x = -33 + 0 15 + 6x = -33 Add '-15' to each side of the equation. 15 + -15 + 6x = -33 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = -33 + -15 6x = -33 + -15 Combine like terms: -33 + -15 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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