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Simplifying 2x + -6 + -2(2x + 8) = 4x + -1 Reorder the terms: 2x + -6 + -2(8 + 2x) = 4x + -1 2x + -6 + (8 * -2 + 2x * -2) = 4x + -1 2x + -6 + (-16 + -4x) = 4x + -1 Reorder the terms: -6 + -16 + 2x + -4x = 4x + -1 Combine like terms: -6 + -16 = -22 -22 + 2x + -4x = 4x + -1 Combine like terms: 2x + -4x = -2x -22 + -2x = 4x + -1 Reorder the terms: -22 + -2x = -1 + 4x Solving -22 + -2x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + -2x + -4x = -1 + 4x + -4x Combine like terms: -2x + -4x = -6x -22 + -6x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + -6x = -1 + 0 -22 + -6x = -1 Add '22' to each side of the equation. -22 + 22 + -6x = -1 + 22 Combine like terms: -22 + 22 = 0 0 + -6x = -1 + 22 -6x = -1 + 22 Combine like terms: -1 + 22 = 21 -6x = 21 Divide each side by '-6'. x = -3.5 Simplifying x = -3.5
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