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Simplifying -5(3x + -25) = 2(x + -12) + -21 Reorder the terms: -5(-25 + 3x) = 2(x + -12) + -21 (-25 * -5 + 3x * -5) = 2(x + -12) + -21 (125 + -15x) = 2(x + -12) + -21 Reorder the terms: 125 + -15x = 2(-12 + x) + -21 125 + -15x = (-12 * 2 + x * 2) + -21 125 + -15x = (-24 + 2x) + -21 Reorder the terms: 125 + -15x = -24 + -21 + 2x Combine like terms: -24 + -21 = -45 125 + -15x = -45 + 2x Solving 125 + -15x = -45 + 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 = -45 + 2x + -2x Combine like terms: -15x + -2x = -17x 125 + -17x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 125 + -17x = -45 + 0 125 + -17x = -45 Add '-125' to each side of the equation. 125 + -125 + -17x = -45 + -125 Combine like terms: 125 + -125 = 0 0 + -17x = -45 + -125 -17x = -45 + -125 Combine like terms: -45 + -125 = -170 -17x = -170 Divide each side by '-17'. x = 10 Simplifying x = 10
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