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Simplifying 5(x + -1) = 2(x + -4) + -6 Reorder the terms: 5(-1 + x) = 2(x + -4) + -6 (-1 * 5 + x * 5) = 2(x + -4) + -6 (-5 + 5x) = 2(x + -4) + -6 Reorder the terms: -5 + 5x = 2(-4 + x) + -6 -5 + 5x = (-4 * 2 + x * 2) + -6 -5 + 5x = (-8 + 2x) + -6 Reorder the terms: -5 + 5x = -8 + -6 + 2x Combine like terms: -8 + -6 = -14 -5 + 5x = -14 + 2x Solving -5 + 5x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x -5 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 3x = -14 + 0 -5 + 3x = -14 Add '5' to each side of the equation. -5 + 5 + 3x = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -14 + 5 3x = -14 + 5 Combine like terms: -14 + 5 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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