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Simplifying -5(3x + -4) + 7x = 35 + -20x Reorder the terms: -5(-4 + 3x) + 7x = 35 + -20x (-4 * -5 + 3x * -5) + 7x = 35 + -20x (20 + -15x) + 7x = 35 + -20x Combine like terms: -15x + 7x = -8x 20 + -8x = 35 + -20x Solving 20 + -8x = 35 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 20 + -8x + 20x = 35 + -20x + 20x Combine like terms: -8x + 20x = 12x 20 + 12x = 35 + -20x + 20x Combine like terms: -20x + 20x = 0 20 + 12x = 35 + 0 20 + 12x = 35 Add '-20' to each side of the equation. 20 + -20 + 12x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 35 + -20 12x = 35 + -20 Combine like terms: 35 + -20 = 15 12x = 15 Divide each side by '12'. x = 1.25 Simplifying x = 1.25
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