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Simplifying 2(x + -4) + -1(4x + 6) = 4(5x + 4) Reorder the terms: 2(-4 + x) + -1(4x + 6) = 4(5x + 4) (-4 * 2 + x * 2) + -1(4x + 6) = 4(5x + 4) (-8 + 2x) + -1(4x + 6) = 4(5x + 4) Reorder the terms: -8 + 2x + -1(6 + 4x) = 4(5x + 4) -8 + 2x + (6 * -1 + 4x * -1) = 4(5x + 4) -8 + 2x + (-6 + -4x) = 4(5x + 4) Reorder the terms: -8 + -6 + 2x + -4x = 4(5x + 4) Combine like terms: -8 + -6 = -14 -14 + 2x + -4x = 4(5x + 4) Combine like terms: 2x + -4x = -2x -14 + -2x = 4(5x + 4) Reorder the terms: -14 + -2x = 4(4 + 5x) -14 + -2x = (4 * 4 + 5x * 4) -14 + -2x = (16 + 20x) Solving -14 + -2x = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -14 + -2x + -20x = 16 + 20x + -20x Combine like terms: -2x + -20x = -22x -14 + -22x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 -14 + -22x = 16 + 0 -14 + -22x = 16 Add '14' to each side of the equation. -14 + 14 + -22x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -22x = 16 + 14 -22x = 16 + 14 Combine like terms: 16 + 14 = 30 -22x = 30 Divide each side by '-22'. x = -1.363636364 Simplifying x = -1.363636364
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