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Simplifying 4(x + 2) = -2(6x + -5) + 2x Reorder the terms: 4(2 + x) = -2(6x + -5) + 2x (2 * 4 + x * 4) = -2(6x + -5) + 2x (8 + 4x) = -2(6x + -5) + 2x Reorder the terms: 8 + 4x = -2(-5 + 6x) + 2x 8 + 4x = (-5 * -2 + 6x * -2) + 2x 8 + 4x = (10 + -12x) + 2x Combine like terms: -12x + 2x = -10x 8 + 4x = 10 + -10x Solving 8 + 4x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + 4x + 10x = 10 + -10x + 10x Combine like terms: 4x + 10x = 14x 8 + 14x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 14x = 10 + 0 8 + 14x = 10 Add '-8' to each side of the equation. 8 + -8 + 14x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 10 + -8 14x = 10 + -8 Combine like terms: 10 + -8 = 2 14x = 2 Divide each side by '14'. x = 0.1428571429 Simplifying x = 0.1428571429
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