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Simplifying 0 = -5[-1(x + 5) + -1(x + -4)] Reorder the terms: 0 = -5[-1(5 + x) + -1(x + -4)] 0 = -5[(5 * -1 + x * -1) + -1(x + -4)] 0 = -5[(-5 + -1x) + -1(x + -4)] Reorder the terms: 0 = -5[-5 + -1x + -1(-4 + x)] 0 = -5[-5 + -1x + (-4 * -1 + x * -1)] 0 = -5[-5 + -1x + (4 + -1x)] Reorder the terms: 0 = -5[-5 + 4 + -1x + -1x] Combine like terms: -5 + 4 = -1 0 = -5[-1 + -1x + -1x] Combine like terms: -1x + -1x = -2x 0 = -5[-1 + -2x] 0 = [-1 * -5 + -2x * -5] 0 = [5 + 10x] Solving 0 = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 0 + -10x = 5 + 10x + -10x Remove the zero: -10x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -10x = 5 + 0 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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