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Simplifying 3(2x + 3) = 2(x + 1) Reorder the terms: 3(3 + 2x) = 2(x + 1) (3 * 3 + 2x * 3) = 2(x + 1) (9 + 6x) = 2(x + 1) Reorder the terms: 9 + 6x = 2(1 + x) 9 + 6x = (1 * 2 + x * 2) 9 + 6x = (2 + 2x) Solving 9 + 6x = 2 + 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. 9 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = 2 + 0 9 + 4x = 2 Add '-9' to each side of the equation. 9 + -9 + 4x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 2 + -9 4x = 2 + -9 Combine like terms: 2 + -9 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75
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