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