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Simplifying 5(x + -2) = 2(12 + -9x) + x Reorder the terms: 5(-2 + x) = 2(12 + -9x) + x (-2 * 5 + x * 5) = 2(12 + -9x) + x (-10 + 5x) = 2(12 + -9x) + x -10 + 5x = (12 * 2 + -9x * 2) + x -10 + 5x = (24 + -18x) + x Combine like terms: -18x + x = -17x -10 + 5x = 24 + -17x Solving -10 + 5x = 24 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -10 + 5x + 17x = 24 + -17x + 17x Combine like terms: 5x + 17x = 22x -10 + 22x = 24 + -17x + 17x Combine like terms: -17x + 17x = 0 -10 + 22x = 24 + 0 -10 + 22x = 24 Add '10' to each side of the equation. -10 + 10 + 22x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 22x = 24 + 10 22x = 24 + 10 Combine like terms: 24 + 10 = 34 22x = 34 Divide each side by '22'. x = 1.545454545 Simplifying x = 1.545454545
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