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Simplifying 5(x + -4) + 2 = 4x + -26 Reorder the terms: 5(-4 + x) + 2 = 4x + -26 (-4 * 5 + x * 5) + 2 = 4x + -26 (-20 + 5x) + 2 = 4x + -26 Reorder the terms: -20 + 2 + 5x = 4x + -26 Combine like terms: -20 + 2 = -18 -18 + 5x = 4x + -26 Reorder the terms: -18 + 5x = -26 + 4x Solving -18 + 5x = -26 + 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. -18 + 5x + -4x = -26 + 4x + -4x Combine like terms: 5x + -4x = 1x -18 + 1x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 1x = -26 + 0 -18 + 1x = -26 Add '18' to each side of the equation. -18 + 18 + 1x = -26 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -26 + 18 1x = -26 + 18 Combine like terms: -26 + 18 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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