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Simplifying 2x + 3(4 + -2x) = 2(x + 5) 2x + (4 * 3 + -2x * 3) = 2(x + 5) 2x + (12 + -6x) = 2(x + 5) Reorder the terms: 12 + 2x + -6x = 2(x + 5) Combine like terms: 2x + -6x = -4x 12 + -4x = 2(x + 5) Reorder the terms: 12 + -4x = 2(5 + x) 12 + -4x = (5 * 2 + x * 2) 12 + -4x = (10 + 2x) Solving 12 + -4x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -4x + -2x = 10 + 2x + -2x Combine like terms: -4x + -2x = -6x 12 + -6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -6x = 10 + 0 12 + -6x = 10 Add '-12' to each side of the equation. 12 + -12 + -6x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 10 + -12 -6x = 10 + -12 Combine like terms: 10 + -12 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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