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