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Simplifying 8 = 5(x + -2) + -1(x + -6) Reorder the terms: 8 = 5(-2 + x) + -1(x + -6) 8 = (-2 * 5 + x * 5) + -1(x + -6) 8 = (-10 + 5x) + -1(x + -6) Reorder the terms: 8 = -10 + 5x + -1(-6 + x) 8 = -10 + 5x + (-6 * -1 + x * -1) 8 = -10 + 5x + (6 + -1x) Reorder the terms: 8 = -10 + 6 + 5x + -1x Combine like terms: -10 + 6 = -4 8 = -4 + 5x + -1x Combine like terms: 5x + -1x = 4x 8 = -4 + 4x Solving 8 = -4 + 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. 8 + -4x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -4x = -4 + 0 8 + -4x = -4 Add '-8' to each side of the equation. 8 + -8 + -4x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -4 + -8 -4x = -4 + -8 Combine like terms: -4 + -8 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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