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Simplifying -2(4x + -9) + -1x = -2(x + -5) Reorder the terms: -2(-9 + 4x) + -1x = -2(x + -5) (-9 * -2 + 4x * -2) + -1x = -2(x + -5) (18 + -8x) + -1x = -2(x + -5) Combine like terms: -8x + -1x = -9x 18 + -9x = -2(x + -5) Reorder the terms: 18 + -9x = -2(-5 + x) 18 + -9x = (-5 * -2 + x * -2) 18 + -9x = (10 + -2x) Solving 18 + -9x = 10 + -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. 18 + -9x + 2x = 10 + -2x + 2x Combine like terms: -9x + 2x = -7x 18 + -7x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -7x = 10 + 0 18 + -7x = 10 Add '-18' to each side of the equation. 18 + -18 + -7x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 10 + -18 -7x = 10 + -18 Combine like terms: 10 + -18 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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