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Simplifying 3(x + 2) + -2(x + 1) = 3(2x + 3) + 4 Reorder the terms: 3(2 + x) + -2(x + 1) = 3(2x + 3) + 4 (2 * 3 + x * 3) + -2(x + 1) = 3(2x + 3) + 4 (6 + 3x) + -2(x + 1) = 3(2x + 3) + 4 Reorder the terms: 6 + 3x + -2(1 + x) = 3(2x + 3) + 4 6 + 3x + (1 * -2 + x * -2) = 3(2x + 3) + 4 6 + 3x + (-2 + -2x) = 3(2x + 3) + 4 Reorder the terms: 6 + -2 + 3x + -2x = 3(2x + 3) + 4 Combine like terms: 6 + -2 = 4 4 + 3x + -2x = 3(2x + 3) + 4 Combine like terms: 3x + -2x = 1x 4 + 1x = 3(2x + 3) + 4 Reorder the terms: 4 + 1x = 3(3 + 2x) + 4 4 + 1x = (3 * 3 + 2x * 3) + 4 4 + 1x = (9 + 6x) + 4 Reorder the terms: 4 + 1x = 9 + 4 + 6x Combine like terms: 9 + 4 = 13 4 + 1x = 13 + 6x Solving 4 + 1x = 13 + 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. 4 + 1x + -6x = 13 + 6x + -6x Combine like terms: 1x + -6x = -5x 4 + -5x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -5x = 13 + 0 4 + -5x = 13 Add '-4' to each side of the equation. 4 + -4 + -5x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 13 + -4 -5x = 13 + -4 Combine like terms: 13 + -4 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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