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Simplifying 6x + -2x + 14 = 12 + x + -7 Reorder the terms: 14 + 6x + -2x = 12 + x + -7 Combine like terms: 6x + -2x = 4x 14 + 4x = 12 + x + -7 Reorder the terms: 14 + 4x = 12 + -7 + x Combine like terms: 12 + -7 = 5 14 + 4x = 5 + x Solving 14 + 4x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + 4x + -1x = 5 + x + -1x Combine like terms: 4x + -1x = 3x 14 + 3x = 5 + x + -1x Combine like terms: x + -1x = 0 14 + 3x = 5 + 0 14 + 3x = 5 Add '-14' to each side of the equation. 14 + -14 + 3x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 5 + -14 3x = 5 + -14 Combine like terms: 5 + -14 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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