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Simplifying -5(x + -3) = -2x + 33 Reorder the terms: -5(-3 + x) = -2x + 33 (-3 * -5 + x * -5) = -2x + 33 (15 + -5x) = -2x + 33 Reorder the terms: 15 + -5x = 33 + -2x Solving 15 + -5x = 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 + -5x + 2x = 33 + -2x + 2x Combine like terms: -5x + 2x = -3x 15 + -3x = 33 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -3x = 33 + 0 15 + -3x = 33 Add '-15' to each side of the equation. 15 + -15 + -3x = 33 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 33 + -15 -3x = 33 + -15 Combine like terms: 33 + -15 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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