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Simplifying 4(5x + 6) + 7x(5 + 4) = 10(x + 7) Reorder the terms: 4(6 + 5x) + 7x(5 + 4) = 10(x + 7) (6 * 4 + 5x * 4) + 7x(5 + 4) = 10(x + 7) (24 + 20x) + 7x(5 + 4) = 10(x + 7) Combine like terms: 5 + 4 = 9 24 + 20x + 7x(9) = 10(x + 7) Reorder the terms for easier multiplication: 24 + 20x + 7 * 9x = 10(x + 7) Multiply 7 * 9 24 + 20x + 63x = 10(x + 7) Combine like terms: 20x + 63x = 83x 24 + 83x = 10(x + 7) Reorder the terms: 24 + 83x = 10(7 + x) 24 + 83x = (7 * 10 + x * 10) 24 + 83x = (70 + 10x) Solving 24 + 83x = 70 + 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. 24 + 83x + -10x = 70 + 10x + -10x Combine like terms: 83x + -10x = 73x 24 + 73x = 70 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 73x = 70 + 0 24 + 73x = 70 Add '-24' to each side of the equation. 24 + -24 + 73x = 70 + -24 Combine like terms: 24 + -24 = 0 0 + 73x = 70 + -24 73x = 70 + -24 Combine like terms: 70 + -24 = 46 73x = 46 Divide each side by '73'. x = 0.6301369863 Simplifying x = 0.6301369863
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