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Simplifying 7(2x + 4) = 10(x + 4) * 5 Reorder the terms: 7(4 + 2x) = 10(x + 4) * 5 (4 * 7 + 2x * 7) = 10(x + 4) * 5 (28 + 14x) = 10(x + 4) * 5 Reorder the terms: 28 + 14x = 10(4 + x) * 5 Reorder the terms for easier multiplication: 28 + 14x = 10 * 5(4 + x) Multiply 10 * 5 28 + 14x = 50(4 + x) 28 + 14x = (4 * 50 + x * 50) 28 + 14x = (200 + 50x) Solving 28 + 14x = 200 + 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 + 14x + -50x = 200 + 50x + -50x Combine like terms: 14x + -50x = -36x 28 + -36x = 200 + 50x + -50x Combine like terms: 50x + -50x = 0 28 + -36x = 200 + 0 28 + -36x = 200 Add '-28' to each side of the equation. 28 + -28 + -36x = 200 + -28 Combine like terms: 28 + -28 = 0 0 + -36x = 200 + -28 -36x = 200 + -28 Combine like terms: 200 + -28 = 172 -36x = 172 Divide each side by '-36'. x = -4.777777778 Simplifying x = -4.777777778
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