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Simplifying 5x + -75 = 2(x + 15) Reorder the terms: -75 + 5x = 2(x + 15) Reorder the terms: -75 + 5x = 2(15 + x) -75 + 5x = (15 * 2 + x * 2) -75 + 5x = (30 + 2x) Solving -75 + 5x = 30 + 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. -75 + 5x + -2x = 30 + 2x + -2x Combine like terms: 5x + -2x = 3x -75 + 3x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -75 + 3x = 30 + 0 -75 + 3x = 30 Add '75' to each side of the equation. -75 + 75 + 3x = 30 + 75 Combine like terms: -75 + 75 = 0 0 + 3x = 30 + 75 3x = 30 + 75 Combine like terms: 30 + 75 = 105 3x = 105 Divide each side by '3'. x = 35 Simplifying x = 35
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