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Simplifying -63 = 1 + 4(8x + -8) Reorder the terms: -63 = 1 + 4(-8 + 8x) -63 = 1 + (-8 * 4 + 8x * 4) -63 = 1 + (-32 + 32x) Combine like terms: 1 + -32 = -31 -63 = -31 + 32x Solving -63 = -31 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -63 + -32x = -31 + 32x + -32x Combine like terms: 32x + -32x = 0 -63 + -32x = -31 + 0 -63 + -32x = -31 Add '63' to each side of the equation. -63 + 63 + -32x = -31 + 63 Combine like terms: -63 + 63 = 0 0 + -32x = -31 + 63 -32x = -31 + 63 Combine like terms: -31 + 63 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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