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Simplifying -5(3x + -1) + 5x = 9 + 2(4x + -5) Reorder the terms: -5(-1 + 3x) + 5x = 9 + 2(4x + -5) (-1 * -5 + 3x * -5) + 5x = 9 + 2(4x + -5) (5 + -15x) + 5x = 9 + 2(4x + -5) Combine like terms: -15x + 5x = -10x 5 + -10x = 9 + 2(4x + -5) Reorder the terms: 5 + -10x = 9 + 2(-5 + 4x) 5 + -10x = 9 + (-5 * 2 + 4x * 2) 5 + -10x = 9 + (-10 + 8x) Combine like terms: 9 + -10 = -1 5 + -10x = -1 + 8x Solving 5 + -10x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + -10x + -8x = -1 + 8x + -8x Combine like terms: -10x + -8x = -18x 5 + -18x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -18x = -1 + 0 5 + -18x = -1 Add '-5' to each side of the equation. 5 + -5 + -18x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -18x = -1 + -5 -18x = -1 + -5 Combine like terms: -1 + -5 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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