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Simplifying -2(5x + -9) + 8x = 4(x + 5) Reorder the terms: -2(-9 + 5x) + 8x = 4(x + 5) (-9 * -2 + 5x * -2) + 8x = 4(x + 5) (18 + -10x) + 8x = 4(x + 5) Combine like terms: -10x + 8x = -2x 18 + -2x = 4(x + 5) Reorder the terms: 18 + -2x = 4(5 + x) 18 + -2x = (5 * 4 + x * 4) 18 + -2x = (20 + 4x) Solving 18 + -2x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + -2x + -4x = 20 + 4x + -4x Combine like terms: -2x + -4x = -6x 18 + -6x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -6x = 20 + 0 18 + -6x = 20 Add '-18' to each side of the equation. 18 + -18 + -6x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = 20 + -18 -6x = 20 + -18 Combine like terms: 20 + -18 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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