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Simplifying -1 + 8(1 + 5x) = 40 + 7x -1 + (1 * 8 + 5x * 8) = 40 + 7x -1 + (8 + 40x) = 40 + 7x Combine like terms: -1 + 8 = 7 7 + 40x = 40 + 7x Solving 7 + 40x = 40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 40x + -7x = 40 + 7x + -7x Combine like terms: 40x + -7x = 33x 7 + 33x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 33x = 40 + 0 7 + 33x = 40 Add '-7' to each side of the equation. 7 + -7 + 33x = 40 + -7 Combine like terms: 7 + -7 = 0 0 + 33x = 40 + -7 33x = 40 + -7 Combine like terms: 40 + -7 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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