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Simplifying 2 + 9(x + -2) = 10 + -2(x + -9) Reorder the terms: 2 + 9(-2 + x) = 10 + -2(x + -9) 2 + (-2 * 9 + x * 9) = 10 + -2(x + -9) 2 + (-18 + 9x) = 10 + -2(x + -9) Combine like terms: 2 + -18 = -16 -16 + 9x = 10 + -2(x + -9) Reorder the terms: -16 + 9x = 10 + -2(-9 + x) -16 + 9x = 10 + (-9 * -2 + x * -2) -16 + 9x = 10 + (18 + -2x) Combine like terms: 10 + 18 = 28 -16 + 9x = 28 + -2x Solving -16 + 9x = 28 + -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. -16 + 9x + 2x = 28 + -2x + 2x Combine like terms: 9x + 2x = 11x -16 + 11x = 28 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 11x = 28 + 0 -16 + 11x = 28 Add '16' to each side of the equation. -16 + 16 + 11x = 28 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 28 + 16 11x = 28 + 16 Combine like terms: 28 + 16 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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