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Simplifying 2(5x + 2) = -3(2x + -3) + 2x Reorder the terms: 2(2 + 5x) = -3(2x + -3) + 2x (2 * 2 + 5x * 2) = -3(2x + -3) + 2x (4 + 10x) = -3(2x + -3) + 2x Reorder the terms: 4 + 10x = -3(-3 + 2x) + 2x 4 + 10x = (-3 * -3 + 2x * -3) + 2x 4 + 10x = (9 + -6x) + 2x Combine like terms: -6x + 2x = -4x 4 + 10x = 9 + -4x Solving 4 + 10x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 10x + 4x = 9 + -4x + 4x Combine like terms: 10x + 4x = 14x 4 + 14x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 14x = 9 + 0 4 + 14x = 9 Add '-4' to each side of the equation. 4 + -4 + 14x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 9 + -4 14x = 9 + -4 Combine like terms: 9 + -4 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571
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