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Simplifying 8[7 + -1(-2x + -4)] = 48x + 152 Reorder the terms: 8[7 + -1(-4 + -2x)] = 48x + 152 8[7 + (-4 * -1 + -2x * -1)] = 48x + 152 8[7 + (4 + 2x)] = 48x + 152 Combine like terms: 7 + 4 = 11 8[11 + 2x] = 48x + 152 [11 * 8 + 2x * 8] = 48x + 152 [88 + 16x] = 48x + 152 Reorder the terms: 88 + 16x = 152 + 48x Solving 88 + 16x = 152 + 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. 88 + 16x + -48x = 152 + 48x + -48x Combine like terms: 16x + -48x = -32x 88 + -32x = 152 + 48x + -48x Combine like terms: 48x + -48x = 0 88 + -32x = 152 + 0 88 + -32x = 152 Add '-88' to each side of the equation. 88 + -88 + -32x = 152 + -88 Combine like terms: 88 + -88 = 0 0 + -32x = 152 + -88 -32x = 152 + -88 Combine like terms: 152 + -88 = 64 -32x = 64 Divide each side by '-32'. x = -2 Simplifying x = -2
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