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Simplifying 5(7 + -4x) = 2x + -20 (7 * 5 + -4x * 5) = 2x + -20 (35 + -20x) = 2x + -20 Reorder the terms: 35 + -20x = -20 + 2x Solving 35 + -20x = -20 + 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. 35 + -20x + -2x = -20 + 2x + -2x Combine like terms: -20x + -2x = -22x 35 + -22x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -22x = -20 + 0 35 + -22x = -20 Add '-35' to each side of the equation. 35 + -35 + -22x = -20 + -35 Combine like terms: 35 + -35 = 0 0 + -22x = -20 + -35 -22x = -20 + -35 Combine like terms: -20 + -35 = -55 -22x = -55 Divide each side by '-22'. x = 2.5 Simplifying x = 2.5
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