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Simplifying 4(7 + 2x) = 5(x + 10) (7 * 4 + 2x * 4) = 5(x + 10) (28 + 8x) = 5(x + 10) Reorder the terms: 28 + 8x = 5(10 + x) 28 + 8x = (10 * 5 + x * 5) 28 + 8x = (50 + 5x) Solving 28 + 8x = 50 + 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. 28 + 8x + -5x = 50 + 5x + -5x Combine like terms: 8x + -5x = 3x 28 + 3x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + 3x = 50 + 0 28 + 3x = 50 Add '-28' to each side of the equation. 28 + -28 + 3x = 50 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 50 + -28 3x = 50 + -28 Combine like terms: 50 + -28 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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