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Simplifying 5(3x + -4) + 2x + -15 = 8x + 120 + -3x Reorder the terms: 5(-4 + 3x) + 2x + -15 = 8x + 120 + -3x (-4 * 5 + 3x * 5) + 2x + -15 = 8x + 120 + -3x (-20 + 15x) + 2x + -15 = 8x + 120 + -3x Reorder the terms: -20 + -15 + 15x + 2x = 8x + 120 + -3x Combine like terms: -20 + -15 = -35 -35 + 15x + 2x = 8x + 120 + -3x Combine like terms: 15x + 2x = 17x -35 + 17x = 8x + 120 + -3x Reorder the terms: -35 + 17x = 120 + 8x + -3x Combine like terms: 8x + -3x = 5x -35 + 17x = 120 + 5x Solving -35 + 17x = 120 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 17x + -5x = 120 + 5x + -5x Combine like terms: 17x + -5x = 12x -35 + 12x = 120 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 12x = 120 + 0 -35 + 12x = 120 Add '35' to each side of the equation. -35 + 35 + 12x = 120 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 120 + 35 12x = 120 + 35 Combine like terms: 120 + 35 = 155 12x = 155 Divide each side by '12'. x = 12.91666667 Simplifying x = 12.91666667
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