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Simplifying -1(2x + 6) = 4(x + 6) + 2 Reorder the terms: -1(6 + 2x) = 4(x + 6) + 2 (6 * -1 + 2x * -1) = 4(x + 6) + 2 (-6 + -2x) = 4(x + 6) + 2 Reorder the terms: -6 + -2x = 4(6 + x) + 2 -6 + -2x = (6 * 4 + x * 4) + 2 -6 + -2x = (24 + 4x) + 2 Reorder the terms: -6 + -2x = 24 + 2 + 4x Combine like terms: 24 + 2 = 26 -6 + -2x = 26 + 4x Solving -6 + -2x = 26 + 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. -6 + -2x + -4x = 26 + 4x + -4x Combine like terms: -2x + -4x = -6x -6 + -6x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -6x = 26 + 0 -6 + -6x = 26 Add '6' to each side of the equation. -6 + 6 + -6x = 26 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 26 + 6 -6x = 26 + 6 Combine like terms: 26 + 6 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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