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Simplifying -1(5 + -8x) + -7(x + -4) = 40 (5 * -1 + -8x * -1) + -7(x + -4) = 40 (-5 + 8x) + -7(x + -4) = 40 Reorder the terms: -5 + 8x + -7(-4 + x) = 40 -5 + 8x + (-4 * -7 + x * -7) = 40 -5 + 8x + (28 + -7x) = 40 Reorder the terms: -5 + 28 + 8x + -7x = 40 Combine like terms: -5 + 28 = 23 23 + 8x + -7x = 40 Combine like terms: 8x + -7x = 1x 23 + 1x = 40 Solving 23 + 1x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1x = 40 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 40 + -23 1x = 40 + -23 Combine like terms: 40 + -23 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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