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Simplifying 2(5x + 4) + -2 = 3(x + 5) Reorder the terms: 2(4 + 5x) + -2 = 3(x + 5) (4 * 2 + 5x * 2) + -2 = 3(x + 5) (8 + 10x) + -2 = 3(x + 5) Reorder the terms: 8 + -2 + 10x = 3(x + 5) Combine like terms: 8 + -2 = 6 6 + 10x = 3(x + 5) Reorder the terms: 6 + 10x = 3(5 + x) 6 + 10x = (5 * 3 + x * 3) 6 + 10x = (15 + 3x) Solving 6 + 10x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 10x + -3x = 15 + 3x + -3x Combine like terms: 10x + -3x = 7x 6 + 7x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 7x = 15 + 0 6 + 7x = 15 Add '-6' to each side of the equation. 6 + -6 + 7x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 15 + -6 7x = 15 + -6 Combine like terms: 15 + -6 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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