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Simplifying 4(7 + 2x) = 10(5x) (7 * 4 + 2x * 4) = 10(5x) (28 + 8x) = 10(5x) Remove parenthesis around (5x) 28 + 8x = 10 * 5x Multiply 10 * 5 28 + 8x = 50x Solving 28 + 8x = 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 28 + 8x + -50x = 50x + -50x Combine like terms: 8x + -50x = -42x 28 + -42x = 50x + -50x Combine like terms: 50x + -50x = 0 28 + -42x = 0 Add '-28' to each side of the equation. 28 + -28 + -42x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -42x = 0 + -28 -42x = 0 + -28 Combine like terms: 0 + -28 = -28 -42x = -28 Divide each side by '-42'. x = 0.6666666667 Simplifying x = 0.6666666667
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