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Simplifying -5(3x + -25) = 2(x + -3) + -5 Reorder the terms: -5(-25 + 3x) = 2(x + -3) + -5 (-25 * -5 + 3x * -5) = 2(x + -3) + -5 (125 + -15x) = 2(x + -3) + -5 Reorder the terms: 125 + -15x = 2(-3 + x) + -5 125 + -15x = (-3 * 2 + x * 2) + -5 125 + -15x = (-6 + 2x) + -5 Reorder the terms: 125 + -15x = -6 + -5 + 2x Combine like terms: -6 + -5 = -11 125 + -15x = -11 + 2x Solving 125 + -15x = -11 + 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 = -11 + 2x + -2x Combine like terms: -15x + -2x = -17x 125 + -17x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 125 + -17x = -11 + 0 125 + -17x = -11 Add '-125' to each side of the equation. 125 + -125 + -17x = -11 + -125 Combine like terms: 125 + -125 = 0 0 + -17x = -11 + -125 -17x = -11 + -125 Combine like terms: -11 + -125 = -136 -17x = -136 Divide each side by '-17'. x = 8 Simplifying x = 8
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