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