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Simplifying x + 9(x + -2) = 2 + -3(1 + -2x) Reorder the terms: x + 9(-2 + x) = 2 + -3(1 + -2x) x + (-2 * 9 + x * 9) = 2 + -3(1 + -2x) x + (-18 + 9x) = 2 + -3(1 + -2x) Reorder the terms: -18 + x + 9x = 2 + -3(1 + -2x) Combine like terms: x + 9x = 10x -18 + 10x = 2 + -3(1 + -2x) -18 + 10x = 2 + (1 * -3 + -2x * -3) -18 + 10x = 2 + (-3 + 6x) Combine like terms: 2 + -3 = -1 -18 + 10x = -1 + 6x Solving -18 + 10x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 10x + -6x = -1 + 6x + -6x Combine like terms: 10x + -6x = 4x -18 + 4x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 4x = -1 + 0 -18 + 4x = -1 Add '18' to each side of the equation. -18 + 18 + 4x = -1 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -1 + 18 4x = -1 + 18 Combine like terms: -1 + 18 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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