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Simplifying 30(x + -4) = 10(x + 2) Reorder the terms: 30(-4 + x) = 10(x + 2) (-4 * 30 + x * 30) = 10(x + 2) (-120 + 30x) = 10(x + 2) Reorder the terms: -120 + 30x = 10(2 + x) -120 + 30x = (2 * 10 + x * 10) -120 + 30x = (20 + 10x) Solving -120 + 30x = 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. -120 + 30x + -10x = 20 + 10x + -10x Combine like terms: 30x + -10x = 20x -120 + 20x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -120 + 20x = 20 + 0 -120 + 20x = 20 Add '120' to each side of the equation. -120 + 120 + 20x = 20 + 120 Combine like terms: -120 + 120 = 0 0 + 20x = 20 + 120 20x = 20 + 120 Combine like terms: 20 + 120 = 140 20x = 140 Divide each side by '20'. x = 7 Simplifying x = 7
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