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Simplifying -2(4x + -5) + 9x = -5(x + 1) Reorder the terms: -2(-5 + 4x) + 9x = -5(x + 1) (-5 * -2 + 4x * -2) + 9x = -5(x + 1) (10 + -8x) + 9x = -5(x + 1) Combine like terms: -8x + 9x = 1x 10 + 1x = -5(x + 1) Reorder the terms: 10 + 1x = -5(1 + x) 10 + 1x = (1 * -5 + x * -5) 10 + 1x = (-5 + -5x) Solving 10 + 1x = -5 + -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. 10 + 1x + 5x = -5 + -5x + 5x Combine like terms: 1x + 5x = 6x 10 + 6x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 6x = -5 + 0 10 + 6x = -5 Add '-10' to each side of the equation. 10 + -10 + 6x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -5 + -10 6x = -5 + -10 Combine like terms: -5 + -10 = -15 6x = -15 Divide each side by '6'. x = -2.5 Simplifying x = -2.5
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