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Simplifying -7 + 6(1 + 8x) = 39 + 8x -7 + (1 * 6 + 8x * 6) = 39 + 8x -7 + (6 + 48x) = 39 + 8x Combine like terms: -7 + 6 = -1 -1 + 48x = 39 + 8x Solving -1 + 48x = 39 + 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. -1 + 48x + -8x = 39 + 8x + -8x Combine like terms: 48x + -8x = 40x -1 + 40x = 39 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 40x = 39 + 0 -1 + 40x = 39 Add '1' to each side of the equation. -1 + 1 + 40x = 39 + 1 Combine like terms: -1 + 1 = 0 0 + 40x = 39 + 1 40x = 39 + 1 Combine like terms: 39 + 1 = 40 40x = 40 Divide each side by '40'. x = 1 Simplifying x = 1
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