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Simplifying 2(4x + 1) + -31 = x + 35 Reorder the terms: 2(1 + 4x) + -31 = x + 35 (1 * 2 + 4x * 2) + -31 = x + 35 (2 + 8x) + -31 = x + 35 Reorder the terms: 2 + -31 + 8x = x + 35 Combine like terms: 2 + -31 = -29 -29 + 8x = x + 35 Reorder the terms: -29 + 8x = 35 + x Solving -29 + 8x = 35 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -29 + 8x + -1x = 35 + x + -1x Combine like terms: 8x + -1x = 7x -29 + 7x = 35 + x + -1x Combine like terms: x + -1x = 0 -29 + 7x = 35 + 0 -29 + 7x = 35 Add '29' to each side of the equation. -29 + 29 + 7x = 35 + 29 Combine like terms: -29 + 29 = 0 0 + 7x = 35 + 29 7x = 35 + 29 Combine like terms: 35 + 29 = 64 7x = 64 Divide each side by '7'. x = 9.142857143 Simplifying x = 9.142857143
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