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Simplifying 8 + -8(5x + -1) = -7(x + -7) Reorder the terms: 8 + -8(-1 + 5x) = -7(x + -7) 8 + (-1 * -8 + 5x * -8) = -7(x + -7) 8 + (8 + -40x) = -7(x + -7) Combine like terms: 8 + 8 = 16 16 + -40x = -7(x + -7) Reorder the terms: 16 + -40x = -7(-7 + x) 16 + -40x = (-7 * -7 + x * -7) 16 + -40x = (49 + -7x) Solving 16 + -40x = 49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 16 + -40x + 7x = 49 + -7x + 7x Combine like terms: -40x + 7x = -33x 16 + -33x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 16 + -33x = 49 + 0 16 + -33x = 49 Add '-16' to each side of the equation. 16 + -16 + -33x = 49 + -16 Combine like terms: 16 + -16 = 0 0 + -33x = 49 + -16 -33x = 49 + -16 Combine like terms: 49 + -16 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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