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Simplifying 3(2x + 3) + -4x = -2(2x + -3) + -3 Reorder the terms: 3(3 + 2x) + -4x = -2(2x + -3) + -3 (3 * 3 + 2x * 3) + -4x = -2(2x + -3) + -3 (9 + 6x) + -4x = -2(2x + -3) + -3 Combine like terms: 6x + -4x = 2x 9 + 2x = -2(2x + -3) + -3 Reorder the terms: 9 + 2x = -2(-3 + 2x) + -3 9 + 2x = (-3 * -2 + 2x * -2) + -3 9 + 2x = (6 + -4x) + -3 Reorder the terms: 9 + 2x = 6 + -3 + -4x Combine like terms: 6 + -3 = 3 9 + 2x = 3 + -4x Solving 9 + 2x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 2x + 4x = 3 + -4x + 4x Combine like terms: 2x + 4x = 6x 9 + 6x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 6x = 3 + 0 9 + 6x = 3 Add '-9' to each side of the equation. 9 + -9 + 6x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 3 + -9 6x = 3 + -9 Combine like terms: 3 + -9 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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