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Simplifying 2(5x + 2) + 3 = 3(x + 1) + 5 Reorder the terms: 2(2 + 5x) + 3 = 3(x + 1) + 5 (2 * 2 + 5x * 2) + 3 = 3(x + 1) + 5 (4 + 10x) + 3 = 3(x + 1) + 5 Reorder the terms: 4 + 3 + 10x = 3(x + 1) + 5 Combine like terms: 4 + 3 = 7 7 + 10x = 3(x + 1) + 5 Reorder the terms: 7 + 10x = 3(1 + x) + 5 7 + 10x = (1 * 3 + x * 3) + 5 7 + 10x = (3 + 3x) + 5 Reorder the terms: 7 + 10x = 3 + 5 + 3x Combine like terms: 3 + 5 = 8 7 + 10x = 8 + 3x Solving 7 + 10x = 8 + 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. 7 + 10x + -3x = 8 + 3x + -3x Combine like terms: 10x + -3x = 7x 7 + 7x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 7x = 8 + 0 7 + 7x = 8 Add '-7' to each side of the equation. 7 + -7 + 7x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 8 + -7 7x = 8 + -7 Combine like terms: 8 + -7 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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