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Simplifying -8(7x + -7) = -8(1 + 3x) Reorder the terms: -8(-7 + 7x) = -8(1 + 3x) (-7 * -8 + 7x * -8) = -8(1 + 3x) (56 + -56x) = -8(1 + 3x) 56 + -56x = (1 * -8 + 3x * -8) 56 + -56x = (-8 + -24x) Solving 56 + -56x = -8 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 56 + -56x + 24x = -8 + -24x + 24x Combine like terms: -56x + 24x = -32x 56 + -32x = -8 + -24x + 24x Combine like terms: -24x + 24x = 0 56 + -32x = -8 + 0 56 + -32x = -8 Add '-56' to each side of the equation. 56 + -56 + -32x = -8 + -56 Combine like terms: 56 + -56 = 0 0 + -32x = -8 + -56 -32x = -8 + -56 Combine like terms: -8 + -56 = -64 -32x = -64 Divide each side by '-32'. x = 2 Simplifying x = 2
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