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Simplifying 2(x + 1) + -5 = 3(x + -2) Reorder the terms: 2(1 + x) + -5 = 3(x + -2) (1 * 2 + x * 2) + -5 = 3(x + -2) (2 + 2x) + -5 = 3(x + -2) Reorder the terms: 2 + -5 + 2x = 3(x + -2) Combine like terms: 2 + -5 = -3 -3 + 2x = 3(x + -2) Reorder the terms: -3 + 2x = 3(-2 + x) -3 + 2x = (-2 * 3 + x * 3) -3 + 2x = (-6 + 3x) Solving -3 + 2x = -6 + 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. -3 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = -6 + 0 -3 + -1x = -6 Add '3' to each side of the equation. -3 + 3 + -1x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -6 + 3 -1x = -6 + 3 Combine like terms: -6 + 3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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