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Simplifying 5(3x + 12 + -2 + 2x) + -1x + -35 = 14x + 75 Reorder the terms: 5(12 + -2 + 3x + 2x) + -1x + -35 = 14x + 75 Combine like terms: 12 + -2 = 10 5(10 + 3x + 2x) + -1x + -35 = 14x + 75 Combine like terms: 3x + 2x = 5x 5(10 + 5x) + -1x + -35 = 14x + 75 (10 * 5 + 5x * 5) + -1x + -35 = 14x + 75 (50 + 25x) + -1x + -35 = 14x + 75 Reorder the terms: 50 + -35 + 25x + -1x = 14x + 75 Combine like terms: 50 + -35 = 15 15 + 25x + -1x = 14x + 75 Combine like terms: 25x + -1x = 24x 15 + 24x = 14x + 75 Reorder the terms: 15 + 24x = 75 + 14x Solving 15 + 24x = 75 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + 24x + -14x = 75 + 14x + -14x Combine like terms: 24x + -14x = 10x 15 + 10x = 75 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + 10x = 75 + 0 15 + 10x = 75 Add '-15' to each side of the equation. 15 + -15 + 10x = 75 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = 75 + -15 10x = 75 + -15 Combine like terms: 75 + -15 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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