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Simplifying 8x + -8x = -5(1 + x) + -1(-4x + -8) Combine like terms: 8x + -8x = 0 0 = -5(1 + x) + -1(-4x + -8) 0 = (1 * -5 + x * -5) + -1(-4x + -8) 0 = (-5 + -5x) + -1(-4x + -8) Reorder the terms: 0 = -5 + -5x + -1(-8 + -4x) 0 = -5 + -5x + (-8 * -1 + -4x * -1) 0 = -5 + -5x + (8 + 4x) Reorder the terms: 0 = -5 + 8 + -5x + 4x Combine like terms: -5 + 8 = 3 0 = 3 + -5x + 4x Combine like terms: -5x + 4x = -1x 0 = 3 + -1x Solving 0 = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0 + x = 3 + -1x + x Remove the zero: x = 3 + -1x + x Combine like terms: -1x + x = 0 x = 3 + 0 x = 3 Simplifying x = 3
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