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Simplifying 2(x + 1) + -3x = 3(3 + 2x) Reorder the terms: 2(1 + x) + -3x = 3(3 + 2x) (1 * 2 + x * 2) + -3x = 3(3 + 2x) (2 + 2x) + -3x = 3(3 + 2x) Combine like terms: 2x + -3x = -1x 2 + -1x = 3(3 + 2x) 2 + -1x = (3 * 3 + 2x * 3) 2 + -1x = (9 + 6x) Solving 2 + -1x = 9 + 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. 2 + -1x + -6x = 9 + 6x + -6x Combine like terms: -1x + -6x = -7x 2 + -7x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -7x = 9 + 0 2 + -7x = 9 Add '-2' to each side of the equation. 2 + -2 + -7x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 9 + -2 -7x = 9 + -2 Combine like terms: 9 + -2 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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