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Simplifying 8x + -7(x + -6) = 47 Reorder the terms: 8x + -7(-6 + x) = 47 8x + (-6 * -7 + x * -7) = 47 8x + (42 + -7x) = 47 Reorder the terms: 42 + 8x + -7x = 47 Combine like terms: 8x + -7x = 1x 42 + 1x = 47 Solving 42 + 1x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 1x = 47 + -42 Combine like terms: 42 + -42 = 0 0 + 1x = 47 + -42 1x = 47 + -42 Combine like terms: 47 + -42 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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