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Simplifying (4x + 6) + -2x = (x + 6) + 10 + 14 Reorder the terms: (6 + 4x) + -2x = (x + 6) + 10 + 14 Remove parenthesis around (6 + 4x) 6 + 4x + -2x = (x + 6) + 10 + 14 Combine like terms: 4x + -2x = 2x 6 + 2x = (x + 6) + 10 + 14 Reorder the terms: 6 + 2x = (6 + x) + 10 + 14 Remove parenthesis around (6 + x) 6 + 2x = 6 + x + 10 + 14 Reorder the terms: 6 + 2x = 6 + 10 + 14 + x Combine like terms: 6 + 10 = 16 6 + 2x = 16 + 14 + x Combine like terms: 16 + 14 = 30 6 + 2x = 30 + x Solving 6 + 2x = 30 + 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. 6 + 2x + -1x = 30 + x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 30 + x + -1x Combine like terms: x + -1x = 0 6 + 1x = 30 + 0 6 + 1x = 30 Add '-6' to each side of the equation. 6 + -6 + 1x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 30 + -6 1x = 30 + -6 Combine like terms: 30 + -6 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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