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Simplifying 6(5x + 2) = -5(x + 5) Reorder the terms: 6(2 + 5x) = -5(x + 5) (2 * 6 + 5x * 6) = -5(x + 5) (12 + 30x) = -5(x + 5) Reorder the terms: 12 + 30x = -5(5 + x) 12 + 30x = (5 * -5 + x * -5) 12 + 30x = (-25 + -5x) Solving 12 + 30x = -25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 30x + 5x = -25 + -5x + 5x Combine like terms: 30x + 5x = 35x 12 + 35x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 35x = -25 + 0 12 + 35x = -25 Add '-12' to each side of the equation. 12 + -12 + 35x = -25 + -12 Combine like terms: 12 + -12 = 0 0 + 35x = -25 + -12 35x = -25 + -12 Combine like terms: -25 + -12 = -37 35x = -37 Divide each side by '35'. x = -1.057142857 Simplifying x = -1.057142857
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