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Simplifying (3x + -7) + 12 = 6 + 4x Reorder the terms: (-7 + 3x) + 12 = 6 + 4x Remove parenthesis around (-7 + 3x) -7 + 3x + 12 = 6 + 4x Reorder the terms: -7 + 12 + 3x = 6 + 4x Combine like terms: -7 + 12 = 5 5 + 3x = 6 + 4x Solving 5 + 3x = 6 + 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. 5 + 3x + -4x = 6 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = 6 + 0 5 + -1x = 6 Add '-5' to each side of the equation. 5 + -5 + -1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 6 + -5 -1x = 6 + -5 Combine like terms: 6 + -5 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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