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Simplifying -5(2x + -19) = 2(x + -8) + -9 Reorder the terms: -5(-19 + 2x) = 2(x + -8) + -9 (-19 * -5 + 2x * -5) = 2(x + -8) + -9 (95 + -10x) = 2(x + -8) + -9 Reorder the terms: 95 + -10x = 2(-8 + x) + -9 95 + -10x = (-8 * 2 + x * 2) + -9 95 + -10x = (-16 + 2x) + -9 Reorder the terms: 95 + -10x = -16 + -9 + 2x Combine like terms: -16 + -9 = -25 95 + -10x = -25 + 2x Solving 95 + -10x = -25 + 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. 95 + -10x + -2x = -25 + 2x + -2x Combine like terms: -10x + -2x = -12x 95 + -12x = -25 + 2x + -2x Combine like terms: 2x + -2x = 0 95 + -12x = -25 + 0 95 + -12x = -25 Add '-95' to each side of the equation. 95 + -95 + -12x = -25 + -95 Combine like terms: 95 + -95 = 0 0 + -12x = -25 + -95 -12x = -25 + -95 Combine like terms: -25 + -95 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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