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Simplifying 8x + -1(4x + 2) = 7x + -20 Reorder the terms: 8x + -1(2 + 4x) = 7x + -20 8x + (2 * -1 + 4x * -1) = 7x + -20 8x + (-2 + -4x) = 7x + -20 Reorder the terms: -2 + 8x + -4x = 7x + -20 Combine like terms: 8x + -4x = 4x -2 + 4x = 7x + -20 Reorder the terms: -2 + 4x = -20 + 7x Solving -2 + 4x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 4x + -7x = -20 + 7x + -7x Combine like terms: 4x + -7x = -3x -2 + -3x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -3x = -20 + 0 -2 + -3x = -20 Add '2' to each side of the equation. -2 + 2 + -3x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -20 + 2 -3x = -20 + 2 Combine like terms: -20 + 2 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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