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Simplifying 6x + 3 + -2x = 2(3 + -1x) + 9 Reorder the terms: 3 + 6x + -2x = 2(3 + -1x) + 9 Combine like terms: 6x + -2x = 4x 3 + 4x = 2(3 + -1x) + 9 3 + 4x = (3 * 2 + -1x * 2) + 9 3 + 4x = (6 + -2x) + 9 Reorder the terms: 3 + 4x = 6 + 9 + -2x Combine like terms: 6 + 9 = 15 3 + 4x = 15 + -2x Solving 3 + 4x = 15 + -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. 3 + 4x + 2x = 15 + -2x + 2x Combine like terms: 4x + 2x = 6x 3 + 6x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 6x = 15 + 0 3 + 6x = 15 Add '-3' to each side of the equation. 3 + -3 + 6x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 15 + -3 6x = 15 + -3 Combine like terms: 15 + -3 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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