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Simplifying 6 = 5(x + -4) + -1(x + -6) Reorder the terms: 6 = 5(-4 + x) + -1(x + -6) 6 = (-4 * 5 + x * 5) + -1(x + -6) 6 = (-20 + 5x) + -1(x + -6) Reorder the terms: 6 = -20 + 5x + -1(-6 + x) 6 = -20 + 5x + (-6 * -1 + x * -1) 6 = -20 + 5x + (6 + -1x) Reorder the terms: 6 = -20 + 6 + 5x + -1x Combine like terms: -20 + 6 = -14 6 = -14 + 5x + -1x Combine like terms: 5x + -1x = 4x 6 = -14 + 4x Solving 6 = -14 + 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. 6 + -4x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -4x = -14 + 0 6 + -4x = -14 Add '-6' to each side of the equation. 6 + -6 + -4x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -14 + -6 -4x = -14 + -6 Combine like terms: -14 + -6 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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