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Simplifying 10 + -5(x + 3) = -10(x + -2) Reorder the terms: 10 + -5(3 + x) = -10(x + -2) 10 + (3 * -5 + x * -5) = -10(x + -2) 10 + (-15 + -5x) = -10(x + -2) Combine like terms: 10 + -15 = -5 -5 + -5x = -10(x + -2) Reorder the terms: -5 + -5x = -10(-2 + x) -5 + -5x = (-2 * -10 + x * -10) -5 + -5x = (20 + -10x) Solving -5 + -5x = 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. -5 + -5x + 10x = 20 + -10x + 10x Combine like terms: -5x + 10x = 5x -5 + 5x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 5x = 20 + 0 -5 + 5x = 20 Add '5' to each side of the equation. -5 + 5 + 5x = 20 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 20 + 5 5x = 20 + 5 Combine like terms: 20 + 5 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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