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Simplifying 2x + 9 = 1 + 3(x + -1) Reorder the terms: 9 + 2x = 1 + 3(x + -1) Reorder the terms: 9 + 2x = 1 + 3(-1 + x) 9 + 2x = 1 + (-1 * 3 + x * 3) 9 + 2x = 1 + (-3 + 3x) Combine like terms: 1 + -3 = -2 9 + 2x = -2 + 3x Solving 9 + 2x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 2x + -3x = -2 + 3x + -3x Combine like terms: 2x + -3x = -1x 9 + -1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -1x = -2 + 0 9 + -1x = -2 Add '-9' to each side of the equation. 9 + -9 + -1x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -2 + -9 -1x = -2 + -9 Combine like terms: -2 + -9 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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