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Simplifying -8 + -7(1 + 8x) = -1x + 40 -8 + (1 * -7 + 8x * -7) = -1x + 40 -8 + (-7 + -56x) = -1x + 40 Combine like terms: -8 + -7 = -15 -15 + -56x = -1x + 40 Reorder the terms: -15 + -56x = 40 + -1x Solving -15 + -56x = 40 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + -56x + x = 40 + -1x + x Combine like terms: -56x + x = -55x -15 + -55x = 40 + -1x + x Combine like terms: -1x + x = 0 -15 + -55x = 40 + 0 -15 + -55x = 40 Add '15' to each side of the equation. -15 + 15 + -55x = 40 + 15 Combine like terms: -15 + 15 = 0 0 + -55x = 40 + 15 -55x = 40 + 15 Combine like terms: 40 + 15 = 55 -55x = 55 Divide each side by '-55'. x = -1 Simplifying x = -1
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