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Simplifying 4x + 6 + -2x = (x + -6) + 24 Reorder the terms: 6 + 4x + -2x = (x + -6) + 24 Combine like terms: 4x + -2x = 2x 6 + 2x = (x + -6) + 24 Reorder the terms: 6 + 2x = (-6 + x) + 24 Remove parenthesis around (-6 + x) 6 + 2x = -6 + x + 24 Reorder the terms: 6 + 2x = -6 + 24 + x Combine like terms: -6 + 24 = 18 6 + 2x = 18 + x Solving 6 + 2x = 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. 6 + 2x + -1x = 18 + x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 18 + x + -1x Combine like terms: x + -1x = 0 6 + 1x = 18 + 0 6 + 1x = 18 Add '-6' to each side of the equation. 6 + -6 + 1x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 18 + -6 1x = 18 + -6 Combine like terms: 18 + -6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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