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Simplifying x + -8 + -1(x + 48) = 32 + -8(x + -48) Reorder the terms: x + -8 + -1(48 + x) = 32 + -8(x + -48) x + -8 + (48 * -1 + x * -1) = 32 + -8(x + -48) x + -8 + (-48 + -1x) = 32 + -8(x + -48) Reorder the terms: -8 + -48 + x + -1x = 32 + -8(x + -48) Combine like terms: -8 + -48 = -56 -56 + x + -1x = 32 + -8(x + -48) Combine like terms: x + -1x = 0 -56 + 0 = 32 + -8(x + -48) -56 = 32 + -8(x + -48) Reorder the terms: -56 = 32 + -8(-48 + x) -56 = 32 + (-48 * -8 + x * -8) -56 = 32 + (384 + -8x) Combine like terms: 32 + 384 = 416 -56 = 416 + -8x Solving -56 = 416 + -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. -56 + 8x = 416 + -8x + 8x Combine like terms: -8x + 8x = 0 -56 + 8x = 416 + 0 -56 + 8x = 416 Add '56' to each side of the equation. -56 + 56 + 8x = 416 + 56 Combine like terms: -56 + 56 = 0 0 + 8x = 416 + 56 8x = 416 + 56 Combine like terms: 416 + 56 = 472 8x = 472 Divide each side by '8'. x = 59 Simplifying x = 59
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