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Simplifying 9 + -2(x + -2) = 5(2x + -1) + 18 Reorder the terms: 9 + -2(-2 + x) = 5(2x + -1) + 18 9 + (-2 * -2 + x * -2) = 5(2x + -1) + 18 9 + (4 + -2x) = 5(2x + -1) + 18 Combine like terms: 9 + 4 = 13 13 + -2x = 5(2x + -1) + 18 Reorder the terms: 13 + -2x = 5(-1 + 2x) + 18 13 + -2x = (-1 * 5 + 2x * 5) + 18 13 + -2x = (-5 + 10x) + 18 Reorder the terms: 13 + -2x = -5 + 18 + 10x Combine like terms: -5 + 18 = 13 13 + -2x = 13 + 10x Add '-13' to each side of the equation. 13 + -13 + -2x = 13 + -13 + 10x Combine like terms: 13 + -13 = 0 0 + -2x = 13 + -13 + 10x -2x = 13 + -13 + 10x Combine like terms: 13 + -13 = 0 -2x = 0 + 10x -2x = 10x Solving -2x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2x + -10x = 10x + -10x Combine like terms: -2x + -10x = -12x -12x = 10x + -10x Combine like terms: 10x + -10x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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