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Simplifying 4 = 5(x + -4) + -1(x + -8) Reorder the terms: 4 = 5(-4 + x) + -1(x + -8) 4 = (-4 * 5 + x * 5) + -1(x + -8) 4 = (-20 + 5x) + -1(x + -8) Reorder the terms: 4 = -20 + 5x + -1(-8 + x) 4 = -20 + 5x + (-8 * -1 + x * -1) 4 = -20 + 5x + (8 + -1x) Reorder the terms: 4 = -20 + 8 + 5x + -1x Combine like terms: -20 + 8 = -12 4 = -12 + 5x + -1x Combine like terms: 5x + -1x = 4x 4 = -12 + 4x Solving 4 = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -4x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -4x = -12 + 0 4 + -4x = -12 Add '-4' to each side of the equation. 4 + -4 + -4x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -12 + -4 -4x = -12 + -4 Combine like terms: -12 + -4 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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