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Simplifying -4x + -2(8x + 1) = -1(6x + 10) + 4 Reorder the terms: -4x + -2(1 + 8x) = -1(6x + 10) + 4 -4x + (1 * -2 + 8x * -2) = -1(6x + 10) + 4 -4x + (-2 + -16x) = -1(6x + 10) + 4 Reorder the terms: -2 + -4x + -16x = -1(6x + 10) + 4 Combine like terms: -4x + -16x = -20x -2 + -20x = -1(6x + 10) + 4 Reorder the terms: -2 + -20x = -1(10 + 6x) + 4 -2 + -20x = (10 * -1 + 6x * -1) + 4 -2 + -20x = (-10 + -6x) + 4 Reorder the terms: -2 + -20x = -10 + 4 + -6x Combine like terms: -10 + 4 = -6 -2 + -20x = -6 + -6x Solving -2 + -20x = -6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + -20x + 6x = -6 + -6x + 6x Combine like terms: -20x + 6x = -14x -2 + -14x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + -14x = -6 + 0 -2 + -14x = -6 Add '2' to each side of the equation. -2 + 2 + -14x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = -6 + 2 -14x = -6 + 2 Combine like terms: -6 + 2 = -4 -14x = -4 Divide each side by '-14'. x = 0.2857142857 Simplifying x = 0.2857142857
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