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Simplifying -2(5x + 5) = 5(6x + -26) Reorder the terms: -2(5 + 5x) = 5(6x + -26) (5 * -2 + 5x * -2) = 5(6x + -26) (-10 + -10x) = 5(6x + -26) Reorder the terms: -10 + -10x = 5(-26 + 6x) -10 + -10x = (-26 * 5 + 6x * 5) -10 + -10x = (-130 + 30x) Solving -10 + -10x = -130 + 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. -10 + -10x + -30x = -130 + 30x + -30x Combine like terms: -10x + -30x = -40x -10 + -40x = -130 + 30x + -30x Combine like terms: 30x + -30x = 0 -10 + -40x = -130 + 0 -10 + -40x = -130 Add '10' to each side of the equation. -10 + 10 + -40x = -130 + 10 Combine like terms: -10 + 10 = 0 0 + -40x = -130 + 10 -40x = -130 + 10 Combine like terms: -130 + 10 = -120 -40x = -120 Divide each side by '-40'. x = 3 Simplifying x = 3
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