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