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Simplifying 5(2x + 2) = -3(5x + -4) Reorder the terms: 5(2 + 2x) = -3(5x + -4) (2 * 5 + 2x * 5) = -3(5x + -4) (10 + 10x) = -3(5x + -4) Reorder the terms: 10 + 10x = -3(-4 + 5x) 10 + 10x = (-4 * -3 + 5x * -3) 10 + 10x = (12 + -15x) Solving 10 + 10x = 12 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 10 + 10x + 15x = 12 + -15x + 15x Combine like terms: 10x + 15x = 25x 10 + 25x = 12 + -15x + 15x Combine like terms: -15x + 15x = 0 10 + 25x = 12 + 0 10 + 25x = 12 Add '-10' to each side of the equation. 10 + -10 + 25x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 25x = 12 + -10 25x = 12 + -10 Combine like terms: 12 + -10 = 2 25x = 2 Divide each side by '25'. x = 0.08 Simplifying x = 0.08
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