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Simplifying 3(x + 1) + -2(x + 2) = 2x + 3 Reorder the terms: 3(1 + x) + -2(x + 2) = 2x + 3 (1 * 3 + x * 3) + -2(x + 2) = 2x + 3 (3 + 3x) + -2(x + 2) = 2x + 3 Reorder the terms: 3 + 3x + -2(2 + x) = 2x + 3 3 + 3x + (2 * -2 + x * -2) = 2x + 3 3 + 3x + (-4 + -2x) = 2x + 3 Reorder the terms: 3 + -4 + 3x + -2x = 2x + 3 Combine like terms: 3 + -4 = -1 -1 + 3x + -2x = 2x + 3 Combine like terms: 3x + -2x = 1x -1 + 1x = 2x + 3 Reorder the terms: -1 + 1x = 3 + 2x Solving -1 + 1x = 3 + 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. -1 + 1x + -2x = 3 + 2x + -2x Combine like terms: 1x + -2x = -1x -1 + -1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -1x = 3 + 0 -1 + -1x = 3 Add '1' to each side of the equation. -1 + 1 + -1x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 3 + 1 -1x = 3 + 1 Combine like terms: 3 + 1 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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