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Simplifying 6(x + -4) + -1(2x + 2) = 4(5x + 2) Reorder the terms: 6(-4 + x) + -1(2x + 2) = 4(5x + 2) (-4 * 6 + x * 6) + -1(2x + 2) = 4(5x + 2) (-24 + 6x) + -1(2x + 2) = 4(5x + 2) Reorder the terms: -24 + 6x + -1(2 + 2x) = 4(5x + 2) -24 + 6x + (2 * -1 + 2x * -1) = 4(5x + 2) -24 + 6x + (-2 + -2x) = 4(5x + 2) Reorder the terms: -24 + -2 + 6x + -2x = 4(5x + 2) Combine like terms: -24 + -2 = -26 -26 + 6x + -2x = 4(5x + 2) Combine like terms: 6x + -2x = 4x -26 + 4x = 4(5x + 2) Reorder the terms: -26 + 4x = 4(2 + 5x) -26 + 4x = (2 * 4 + 5x * 4) -26 + 4x = (8 + 20x) Solving -26 + 4x = 8 + 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. -26 + 4x + -20x = 8 + 20x + -20x Combine like terms: 4x + -20x = -16x -26 + -16x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 -26 + -16x = 8 + 0 -26 + -16x = 8 Add '26' to each side of the equation. -26 + 26 + -16x = 8 + 26 Combine like terms: -26 + 26 = 0 0 + -16x = 8 + 26 -16x = 8 + 26 Combine like terms: 8 + 26 = 34 -16x = 34 Divide each side by '-16'. x = -2.125 Simplifying x = -2.125
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