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Simplifying 5(x + -3) = 10(x + -2) Reorder the terms: 5(-3 + x) = 10(x + -2) (-3 * 5 + x * 5) = 10(x + -2) (-15 + 5x) = 10(x + -2) Reorder the terms: -15 + 5x = 10(-2 + x) -15 + 5x = (-2 * 10 + x * 10) -15 + 5x = (-20 + 10x) Solving -15 + 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. -15 + 5x + -10x = -20 + 10x + -10x Combine like terms: 5x + -10x = -5x -15 + -5x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -5x = -20 + 0 -15 + -5x = -20 Add '15' to each side of the equation. -15 + 15 + -5x = -20 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = -20 + 15 -5x = -20 + 15 Combine like terms: -20 + 15 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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