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