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Simplifying -68 = -4(1 + -8x) + -8(-7x + -3) -68 = (1 * -4 + -8x * -4) + -8(-7x + -3) -68 = (-4 + 32x) + -8(-7x + -3) Reorder the terms: -68 = -4 + 32x + -8(-3 + -7x) -68 = -4 + 32x + (-3 * -8 + -7x * -8) -68 = -4 + 32x + (24 + 56x) Reorder the terms: -68 = -4 + 24 + 32x + 56x Combine like terms: -4 + 24 = 20 -68 = 20 + 32x + 56x Combine like terms: 32x + 56x = 88x -68 = 20 + 88x Solving -68 = 20 + 88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88x' to each side of the equation. -68 + -88x = 20 + 88x + -88x Combine like terms: 88x + -88x = 0 -68 + -88x = 20 + 0 -68 + -88x = 20 Add '68' to each side of the equation. -68 + 68 + -88x = 20 + 68 Combine like terms: -68 + 68 = 0 0 + -88x = 20 + 68 -88x = 20 + 68 Combine like terms: 20 + 68 = 88 -88x = 88 Divide each side by '-88'. x = -1 Simplifying x = -1
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