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Simplifying 5x + -12 = 2(x + 30) Reorder the terms: -12 + 5x = 2(x + 30) Reorder the terms: -12 + 5x = 2(30 + x) -12 + 5x = (30 * 2 + x * 2) -12 + 5x = (60 + 2x) Solving -12 + 5x = 60 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 5x + -2x = 60 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = 60 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = 60 + 0 -12 + 3x = 60 Add '12' to each side of the equation. -12 + 12 + 3x = 60 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 60 + 12 3x = 60 + 12 Combine like terms: 60 + 12 = 72 3x = 72 Divide each side by '3'. x = 24 Simplifying x = 24
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