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Simplifying 2(x + -9) + 1 = 3(x + -3) Reorder the terms: 2(-9 + x) + 1 = 3(x + -3) (-9 * 2 + x * 2) + 1 = 3(x + -3) (-18 + 2x) + 1 = 3(x + -3) Reorder the terms: -18 + 1 + 2x = 3(x + -3) Combine like terms: -18 + 1 = -17 -17 + 2x = 3(x + -3) Reorder the terms: -17 + 2x = 3(-3 + x) -17 + 2x = (-3 * 3 + x * 3) -17 + 2x = (-9 + 3x) Solving -17 + 2x = -9 + 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. -17 + 2x + -3x = -9 + 3x + -3x Combine like terms: 2x + -3x = -1x -17 + -1x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + -1x = -9 + 0 -17 + -1x = -9 Add '17' to each side of the equation. -17 + 17 + -1x = -9 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -9 + 17 -1x = -9 + 17 Combine like terms: -9 + 17 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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