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Simplifying -8(x + -7) = 40 + 8x Reorder the terms: -8(-7 + x) = 40 + 8x (-7 * -8 + x * -8) = 40 + 8x (56 + -8x) = 40 + 8x Solving 56 + -8x = 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. 56 + -8x + -8x = 40 + 8x + -8x Combine like terms: -8x + -8x = -16x 56 + -16x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 56 + -16x = 40 + 0 56 + -16x = 40 Add '-56' to each side of the equation. 56 + -56 + -16x = 40 + -56 Combine like terms: 56 + -56 = 0 0 + -16x = 40 + -56 -16x = 40 + -56 Combine like terms: 40 + -56 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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