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Simplifying 5x + -30 = 3(x + 30) Reorder the terms: -30 + 5x = 3(x + 30) Reorder the terms: -30 + 5x = 3(30 + x) -30 + 5x = (30 * 3 + x * 3) -30 + 5x = (90 + 3x) Solving -30 + 5x = 90 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 5x + -3x = 90 + 3x + -3x Combine like terms: 5x + -3x = 2x -30 + 2x = 90 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 2x = 90 + 0 -30 + 2x = 90 Add '30' to each side of the equation. -30 + 30 + 2x = 90 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 90 + 30 2x = 90 + 30 Combine like terms: 90 + 30 = 120 2x = 120 Divide each side by '2'. x = 60 Simplifying x = 60
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