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Simplifying 2(x + -5) = 3(2 + -4x) Reorder the terms: 2(-5 + x) = 3(2 + -4x) (-5 * 2 + x * 2) = 3(2 + -4x) (-10 + 2x) = 3(2 + -4x) -10 + 2x = (2 * 3 + -4x * 3) -10 + 2x = (6 + -12x) Solving -10 + 2x = 6 + -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 = 6 + -12x + 12x Combine like terms: 2x + 12x = 14x -10 + 14x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 -10 + 14x = 6 + 0 -10 + 14x = 6 Add '10' to each side of the equation. -10 + 10 + 14x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 6 + 10 14x = 6 + 10 Combine like terms: 6 + 10 = 16 14x = 16 Divide each side by '14'. x = 1.142857143 Simplifying x = 1.142857143
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