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Simplifying -5(3x + -33) = 2(x + -17) + -5 Reorder the terms: -5(-33 + 3x) = 2(x + -17) + -5 (-33 * -5 + 3x * -5) = 2(x + -17) + -5 (165 + -15x) = 2(x + -17) + -5 Reorder the terms: 165 + -15x = 2(-17 + x) + -5 165 + -15x = (-17 * 2 + x * 2) + -5 165 + -15x = (-34 + 2x) + -5 Reorder the terms: 165 + -15x = -34 + -5 + 2x Combine like terms: -34 + -5 = -39 165 + -15x = -39 + 2x Solving 165 + -15x = -39 + 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. 165 + -15x + -2x = -39 + 2x + -2x Combine like terms: -15x + -2x = -17x 165 + -17x = -39 + 2x + -2x Combine like terms: 2x + -2x = 0 165 + -17x = -39 + 0 165 + -17x = -39 Add '-165' to each side of the equation. 165 + -165 + -17x = -39 + -165 Combine like terms: 165 + -165 = 0 0 + -17x = -39 + -165 -17x = -39 + -165 Combine like terms: -39 + -165 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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