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Simplifying -5(2x + -4) = 2(x + -10) + -9 Reorder the terms: -5(-4 + 2x) = 2(x + -10) + -9 (-4 * -5 + 2x * -5) = 2(x + -10) + -9 (20 + -10x) = 2(x + -10) + -9 Reorder the terms: 20 + -10x = 2(-10 + x) + -9 20 + -10x = (-10 * 2 + x * 2) + -9 20 + -10x = (-20 + 2x) + -9 Reorder the terms: 20 + -10x = -20 + -9 + 2x Combine like terms: -20 + -9 = -29 20 + -10x = -29 + 2x Solving 20 + -10x = -29 + 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. 20 + -10x + -2x = -29 + 2x + -2x Combine like terms: -10x + -2x = -12x 20 + -12x = -29 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + -12x = -29 + 0 20 + -12x = -29 Add '-20' to each side of the equation. 20 + -20 + -12x = -29 + -20 Combine like terms: 20 + -20 = 0 0 + -12x = -29 + -20 -12x = -29 + -20 Combine like terms: -29 + -20 = -49 -12x = -49 Divide each side by '-12'. x = 4.083333333 Simplifying x = 4.083333333
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