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Simplifying -4(-2x + -9) = -2(-5x + 4) Reorder the terms: -4(-9 + -2x) = -2(-5x + 4) (-9 * -4 + -2x * -4) = -2(-5x + 4) (36 + 8x) = -2(-5x + 4) Reorder the terms: 36 + 8x = -2(4 + -5x) 36 + 8x = (4 * -2 + -5x * -2) 36 + 8x = (-8 + 10x) Solving 36 + 8x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 36 + 8x + -10x = -8 + 10x + -10x Combine like terms: 8x + -10x = -2x 36 + -2x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + -2x = -8 + 0 36 + -2x = -8 Add '-36' to each side of the equation. 36 + -36 + -2x = -8 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = -8 + -36 -2x = -8 + -36 Combine like terms: -8 + -36 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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