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Simplifying 8[5 + -1(-2x + -2)] = 48x + 88 Reorder the terms: 8[5 + -1(-2 + -2x)] = 48x + 88 8[5 + (-2 * -1 + -2x * -1)] = 48x + 88 8[5 + (2 + 2x)] = 48x + 88 Combine like terms: 5 + 2 = 7 8[7 + 2x] = 48x + 88 [7 * 8 + 2x * 8] = 48x + 88 [56 + 16x] = 48x + 88 Reorder the terms: 56 + 16x = 88 + 48x Solving 56 + 16x = 88 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 56 + 16x + -48x = 88 + 48x + -48x Combine like terms: 16x + -48x = -32x 56 + -32x = 88 + 48x + -48x Combine like terms: 48x + -48x = 0 56 + -32x = 88 + 0 56 + -32x = 88 Add '-56' to each side of the equation. 56 + -56 + -32x = 88 + -56 Combine like terms: 56 + -56 = 0 0 + -32x = 88 + -56 -32x = 88 + -56 Combine like terms: 88 + -56 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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