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Simplifying 2(x + 5) = 6 + -4(3x + -2) Reorder the terms: 2(5 + x) = 6 + -4(3x + -2) (5 * 2 + x * 2) = 6 + -4(3x + -2) (10 + 2x) = 6 + -4(3x + -2) Reorder the terms: 10 + 2x = 6 + -4(-2 + 3x) 10 + 2x = 6 + (-2 * -4 + 3x * -4) 10 + 2x = 6 + (8 + -12x) Combine like terms: 6 + 8 = 14 10 + 2x = 14 + -12x Solving 10 + 2x = 14 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + 2x + 12x = 14 + -12x + 12x Combine like terms: 2x + 12x = 14x 10 + 14x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 14x = 14 + 0 10 + 14x = 14 Add '-10' to each side of the equation. 10 + -10 + 14x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 14 + -10 14x = 14 + -10 Combine like terms: 14 + -10 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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