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Simplifying -4x + -2(8x + 1) = 2(10x + 7) Reorder the terms: -4x + -2(1 + 8x) = 2(10x + 7) -4x + (1 * -2 + 8x * -2) = 2(10x + 7) -4x + (-2 + -16x) = 2(10x + 7) Reorder the terms: -2 + -4x + -16x = 2(10x + 7) Combine like terms: -4x + -16x = -20x -2 + -20x = 2(10x + 7) Reorder the terms: -2 + -20x = 2(7 + 10x) -2 + -20x = (7 * 2 + 10x * 2) -2 + -20x = (14 + 20x) Solving -2 + -20x = 14 + 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. -2 + -20x + -20x = 14 + 20x + -20x Combine like terms: -20x + -20x = -40x -2 + -40x = 14 + 20x + -20x Combine like terms: 20x + -20x = 0 -2 + -40x = 14 + 0 -2 + -40x = 14 Add '2' to each side of the equation. -2 + 2 + -40x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -40x = 14 + 2 -40x = 14 + 2 Combine like terms: 14 + 2 = 16 -40x = 16 Divide each side by '-40'. x = -0.4 Simplifying x = -0.4
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