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Simplifying 2(2x + 2) = 5(6x + -5) Reorder the terms: 2(2 + 2x) = 5(6x + -5) (2 * 2 + 2x * 2) = 5(6x + -5) (4 + 4x) = 5(6x + -5) Reorder the terms: 4 + 4x = 5(-5 + 6x) 4 + 4x = (-5 * 5 + 6x * 5) 4 + 4x = (-25 + 30x) Solving 4 + 4x = -25 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 4 + 4x + -30x = -25 + 30x + -30x Combine like terms: 4x + -30x = -26x 4 + -26x = -25 + 30x + -30x Combine like terms: 30x + -30x = 0 4 + -26x = -25 + 0 4 + -26x = -25 Add '-4' to each side of the equation. 4 + -4 + -26x = -25 + -4 Combine like terms: 4 + -4 = 0 0 + -26x = -25 + -4 -26x = -25 + -4 Combine like terms: -25 + -4 = -29 -26x = -29 Divide each side by '-26'. x = 1.115384615 Simplifying x = 1.115384615
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