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Simplifying 5(3x + 5) = 10(x + -2) Reorder the terms: 5(5 + 3x) = 10(x + -2) (5 * 5 + 3x * 5) = 10(x + -2) (25 + 15x) = 10(x + -2) Reorder the terms: 25 + 15x = 10(-2 + x) 25 + 15x = (-2 * 10 + x * 10) 25 + 15x = (-20 + 10x) Solving 25 + 15x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 25 + 15x + -10x = -20 + 10x + -10x Combine like terms: 15x + -10x = 5x 25 + 5x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 25 + 5x = -20 + 0 25 + 5x = -20 Add '-25' to each side of the equation. 25 + -25 + 5x = -20 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = -20 + -25 5x = -20 + -25 Combine like terms: -20 + -25 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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