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Simplifying 4(7 + -3x) = 5(2x + 4) (7 * 4 + -3x * 4) = 5(2x + 4) (28 + -12x) = 5(2x + 4) Reorder the terms: 28 + -12x = 5(4 + 2x) 28 + -12x = (4 * 5 + 2x * 5) 28 + -12x = (20 + 10x) Solving 28 + -12x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 28 + -12x + -10x = 20 + 10x + -10x Combine like terms: -12x + -10x = -22x 28 + -22x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + -22x = 20 + 0 28 + -22x = 20 Add '-28' to each side of the equation. 28 + -28 + -22x = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -22x = 20 + -28 -22x = 20 + -28 Combine like terms: 20 + -28 = -8 -22x = -8 Divide each side by '-22'. x = 0.3636363636 Simplifying x = 0.3636363636
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