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Simplifying 2(2x + -13) = -3(2x + -8) Reorder the terms: 2(-13 + 2x) = -3(2x + -8) (-13 * 2 + 2x * 2) = -3(2x + -8) (-26 + 4x) = -3(2x + -8) Reorder the terms: -26 + 4x = -3(-8 + 2x) -26 + 4x = (-8 * -3 + 2x * -3) -26 + 4x = (24 + -6x) Solving -26 + 4x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -26 + 4x + 6x = 24 + -6x + 6x Combine like terms: 4x + 6x = 10x -26 + 10x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -26 + 10x = 24 + 0 -26 + 10x = 24 Add '26' to each side of the equation. -26 + 26 + 10x = 24 + 26 Combine like terms: -26 + 26 = 0 0 + 10x = 24 + 26 10x = 24 + 26 Combine like terms: 24 + 26 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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