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Simplifying 3x + 2 = 0.5((4x + -6) + (x + 12)) Reorder the terms: 2 + 3x = 0.5((4x + -6) + (x + 12)) Reorder the terms: 2 + 3x = 0.5((-6 + 4x) + (x + 12)) Remove parenthesis around (-6 + 4x) 2 + 3x = 0.5(-6 + 4x + (x + 12)) Reorder the terms: 2 + 3x = 0.5(-6 + 4x + (12 + x)) Remove parenthesis around (12 + x) 2 + 3x = 0.5(-6 + 4x + 12 + x) Reorder the terms: 2 + 3x = 0.5(-6 + 12 + 4x + x) Combine like terms: -6 + 12 = 6 2 + 3x = 0.5(6 + 4x + x) Combine like terms: 4x + x = 5x 2 + 3x = 0.5(6 + 5x) 2 + 3x = (6 * 0.5 + 5x * 0.5) 2 + 3x = (3 + 2.5x) Solving 2 + 3x = 3 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 2 + 3x + -2.5x = 3 + 2.5x + -2.5x Combine like terms: 3x + -2.5x = 0.5x 2 + 0.5x = 3 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 2 + 0.5x = 3 + 0.0 2 + 0.5x = 3 Add '-2' to each side of the equation. 2 + -2 + 0.5x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = 3 + -2 0.5x = 3 + -2 Combine like terms: 3 + -2 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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