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Simplifying 3(2x + 3) + -2 = -2(x + 1) + 3x Reorder the terms: 3(3 + 2x) + -2 = -2(x + 1) + 3x (3 * 3 + 2x * 3) + -2 = -2(x + 1) + 3x (9 + 6x) + -2 = -2(x + 1) + 3x Reorder the terms: 9 + -2 + 6x = -2(x + 1) + 3x Combine like terms: 9 + -2 = 7 7 + 6x = -2(x + 1) + 3x Reorder the terms: 7 + 6x = -2(1 + x) + 3x 7 + 6x = (1 * -2 + x * -2) + 3x 7 + 6x = (-2 + -2x) + 3x Combine like terms: -2x + 3x = 1x 7 + 6x = -2 + 1x Solving 7 + 6x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 6x + -1x = -2 + 1x + -1x Combine like terms: 6x + -1x = 5x 7 + 5x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 5x = -2 + 0 7 + 5x = -2 Add '-7' to each side of the equation. 7 + -7 + 5x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -2 + -7 5x = -2 + -7 Combine like terms: -2 + -7 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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