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Simplifying 3(2x + 5) = -2x + -33 Reorder the terms: 3(5 + 2x) = -2x + -33 (5 * 3 + 2x * 3) = -2x + -33 (15 + 6x) = -2x + -33 Reorder the terms: 15 + 6x = -33 + -2x Solving 15 + 6x = -33 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + 6x + 2x = -33 + -2x + 2x Combine like terms: 6x + 2x = 8x 15 + 8x = -33 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 8x = -33 + 0 15 + 8x = -33 Add '-15' to each side of the equation. 15 + -15 + 8x = -33 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -33 + -15 8x = -33 + -15 Combine like terms: -33 + -15 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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