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Simplifying 10(x + -3) = 5(x + 12) Reorder the terms: 10(-3 + x) = 5(x + 12) (-3 * 10 + x * 10) = 5(x + 12) (-30 + 10x) = 5(x + 12) Reorder the terms: -30 + 10x = 5(12 + x) -30 + 10x = (12 * 5 + x * 5) -30 + 10x = (60 + 5x) Solving -30 + 10x = 60 + 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. -30 + 10x + -5x = 60 + 5x + -5x Combine like terms: 10x + -5x = 5x -30 + 5x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 5x = 60 + 0 -30 + 5x = 60 Add '30' to each side of the equation. -30 + 30 + 5x = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 60 + 30 5x = 60 + 30 Combine like terms: 60 + 30 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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