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Simplifying -5(2x + -25) = 2(x + -6) + -7 Reorder the terms: -5(-25 + 2x) = 2(x + -6) + -7 (-25 * -5 + 2x * -5) = 2(x + -6) + -7 (125 + -10x) = 2(x + -6) + -7 Reorder the terms: 125 + -10x = 2(-6 + x) + -7 125 + -10x = (-6 * 2 + x * 2) + -7 125 + -10x = (-12 + 2x) + -7 Reorder the terms: 125 + -10x = -12 + -7 + 2x Combine like terms: -12 + -7 = -19 125 + -10x = -19 + 2x Solving 125 + -10x = -19 + 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 + -10x + -2x = -19 + 2x + -2x Combine like terms: -10x + -2x = -12x 125 + -12x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 125 + -12x = -19 + 0 125 + -12x = -19 Add '-125' to each side of the equation. 125 + -125 + -12x = -19 + -125 Combine like terms: 125 + -125 = 0 0 + -12x = -19 + -125 -12x = -19 + -125 Combine like terms: -19 + -125 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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