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Simplifying -5(3x + -25) = 2(x + -2) + -75 Reorder the terms: -5(-25 + 3x) = 2(x + -2) + -75 (-25 * -5 + 3x * -5) = 2(x + -2) + -75 (125 + -15x) = 2(x + -2) + -75 Reorder the terms: 125 + -15x = 2(-2 + x) + -75 125 + -15x = (-2 * 2 + x * 2) + -75 125 + -15x = (-4 + 2x) + -75 Reorder the terms: 125 + -15x = -4 + -75 + 2x Combine like terms: -4 + -75 = -79 125 + -15x = -79 + 2x Solving 125 + -15x = -79 + 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. 125 + -15x + -2x = -79 + 2x + -2x Combine like terms: -15x + -2x = -17x 125 + -17x = -79 + 2x + -2x Combine like terms: 2x + -2x = 0 125 + -17x = -79 + 0 125 + -17x = -79 Add '-125' to each side of the equation. 125 + -125 + -17x = -79 + -125 Combine like terms: 125 + -125 = 0 0 + -17x = -79 + -125 -17x = -79 + -125 Combine like terms: -79 + -125 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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