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Simplifying (4x + 6) + -2 = (x + -6) + 10 + 14 Reorder the terms: (6 + 4x) + -2 = (x + -6) + 10 + 14 Remove parenthesis around (6 + 4x) 6 + 4x + -2 = (x + -6) + 10 + 14 Reorder the terms: 6 + -2 + 4x = (x + -6) + 10 + 14 Combine like terms: 6 + -2 = 4 4 + 4x = (x + -6) + 10 + 14 Reorder the terms: 4 + 4x = (-6 + x) + 10 + 14 Remove parenthesis around (-6 + x) 4 + 4x = -6 + x + 10 + 14 Reorder the terms: 4 + 4x = -6 + 10 + 14 + x Combine like terms: -6 + 10 = 4 4 + 4x = 4 + 14 + x Combine like terms: 4 + 14 = 18 4 + 4x = 18 + x Solving 4 + 4x = 18 + 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. 4 + 4x + -1x = 18 + x + -1x Combine like terms: 4x + -1x = 3x 4 + 3x = 18 + x + -1x Combine like terms: x + -1x = 0 4 + 3x = 18 + 0 4 + 3x = 18 Add '-4' to each side of the equation. 4 + -4 + 3x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 18 + -4 3x = 18 + -4 Combine like terms: 18 + -4 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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