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Simplifying 2(5x + 4) = -5(x + 5) Reorder the terms: 2(4 + 5x) = -5(x + 5) (4 * 2 + 5x * 2) = -5(x + 5) (8 + 10x) = -5(x + 5) Reorder the terms: 8 + 10x = -5(5 + x) 8 + 10x = (5 * -5 + x * -5) 8 + 10x = (-25 + -5x) Solving 8 + 10x = -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. 8 + 10x + 5x = -25 + -5x + 5x Combine like terms: 10x + 5x = 15x 8 + 15x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 15x = -25 + 0 8 + 15x = -25 Add '-8' to each side of the equation. 8 + -8 + 15x = -25 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = -25 + -8 15x = -25 + -8 Combine like terms: -25 + -8 = -33 15x = -33 Divide each side by '15'. x = -2.2 Simplifying x = -2.2
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