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Simplifying 3x + -4(2x + -5) = 5(x + -10) Reorder the terms: 3x + -4(-5 + 2x) = 5(x + -10) 3x + (-5 * -4 + 2x * -4) = 5(x + -10) 3x + (20 + -8x) = 5(x + -10) Reorder the terms: 20 + 3x + -8x = 5(x + -10) Combine like terms: 3x + -8x = -5x 20 + -5x = 5(x + -10) Reorder the terms: 20 + -5x = 5(-10 + x) 20 + -5x = (-10 * 5 + x * 5) 20 + -5x = (-50 + 5x) Solving 20 + -5x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + -5x + -5x = -50 + 5x + -5x Combine like terms: -5x + -5x = -10x 20 + -10x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -10x = -50 + 0 20 + -10x = -50 Add '-20' to each side of the equation. 20 + -20 + -10x = -50 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = -50 + -20 -10x = -50 + -20 Combine like terms: -50 + -20 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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