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Simplifying 7(1 + 6x) + -1 = 8x + 40 (1 * 7 + 6x * 7) + -1 = 8x + 40 (7 + 42x) + -1 = 8x + 40 Reorder the terms: 7 + -1 + 42x = 8x + 40 Combine like terms: 7 + -1 = 6 6 + 42x = 8x + 40 Reorder the terms: 6 + 42x = 40 + 8x Solving 6 + 42x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 42x + -8x = 40 + 8x + -8x Combine like terms: 42x + -8x = 34x 6 + 34x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 34x = 40 + 0 6 + 34x = 40 Add '-6' to each side of the equation. 6 + -6 + 34x = 40 + -6 Combine like terms: 6 + -6 = 0 0 + 34x = 40 + -6 34x = 40 + -6 Combine like terms: 40 + -6 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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