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Simplifying 3x + 7 = (4x + -6) Reorder the terms: 7 + 3x = (4x + -6) Reorder the terms: 7 + 3x = (-6 + 4x) Remove parenthesis around (-6 + 4x) 7 + 3x = -6 + 4x Solving 7 + 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. 7 + 3x + -4x = -6 + 4x + -4x Combine like terms: 3x + -4x = -1x 7 + -1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -1x = -6 + 0 7 + -1x = -6 Add '-7' to each side of the equation. 7 + -7 + -1x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -6 + -7 -1x = -6 + -7 Combine like terms: -6 + -7 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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