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Simplifying 8x + -1(7x + 5) = 8x + -40 Reorder the terms: 8x + -1(5 + 7x) = 8x + -40 8x + (5 * -1 + 7x * -1) = 8x + -40 8x + (-5 + -7x) = 8x + -40 Reorder the terms: -5 + 8x + -7x = 8x + -40 Combine like terms: 8x + -7x = 1x -5 + 1x = 8x + -40 Reorder the terms: -5 + 1x = -40 + 8x Solving -5 + 1x = -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. -5 + 1x + -8x = -40 + 8x + -8x Combine like terms: 1x + -8x = -7x -5 + -7x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -7x = -40 + 0 -5 + -7x = -40 Add '5' to each side of the equation. -5 + 5 + -7x = -40 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -40 + 5 -7x = -40 + 5 Combine like terms: -40 + 5 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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