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Simplifying 4(3x + 28) = 5(x + 28) Reorder the terms: 4(28 + 3x) = 5(x + 28) (28 * 4 + 3x * 4) = 5(x + 28) (112 + 12x) = 5(x + 28) Reorder the terms: 112 + 12x = 5(28 + x) 112 + 12x = (28 * 5 + x * 5) 112 + 12x = (140 + 5x) Solving 112 + 12x = 140 + 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. 112 + 12x + -5x = 140 + 5x + -5x Combine like terms: 12x + -5x = 7x 112 + 7x = 140 + 5x + -5x Combine like terms: 5x + -5x = 0 112 + 7x = 140 + 0 112 + 7x = 140 Add '-112' to each side of the equation. 112 + -112 + 7x = 140 + -112 Combine like terms: 112 + -112 = 0 0 + 7x = 140 + -112 7x = 140 + -112 Combine like terms: 140 + -112 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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