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Simplifying 3x + 7 + 1 = 2(5x + 1) + 2 Reorder the terms: 7 + 1 + 3x = 2(5x + 1) + 2 Combine like terms: 7 + 1 = 8 8 + 3x = 2(5x + 1) + 2 Reorder the terms: 8 + 3x = 2(1 + 5x) + 2 8 + 3x = (1 * 2 + 5x * 2) + 2 8 + 3x = (2 + 10x) + 2 Reorder the terms: 8 + 3x = 2 + 2 + 10x Combine like terms: 2 + 2 = 4 8 + 3x = 4 + 10x Solving 8 + 3x = 4 + 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. 8 + 3x + -10x = 4 + 10x + -10x Combine like terms: 3x + -10x = -7x 8 + -7x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -7x = 4 + 0 8 + -7x = 4 Add '-8' to each side of the equation. 8 + -8 + -7x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 4 + -8 -7x = 4 + -8 Combine like terms: 4 + -8 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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