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Simplifying -1(6 + 6x) = -2(3x + 1) + x (6 * -1 + 6x * -1) = -2(3x + 1) + x (-6 + -6x) = -2(3x + 1) + x Reorder the terms: -6 + -6x = -2(1 + 3x) + x -6 + -6x = (1 * -2 + 3x * -2) + x -6 + -6x = (-2 + -6x) + x Combine like terms: -6x + x = -5x -6 + -6x = -2 + -5x Solving -6 + -6x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -6x + 5x = -2 + -5x + 5x Combine like terms: -6x + 5x = -1x -6 + -1x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + -1x = -2 + 0 -6 + -1x = -2 Add '6' to each side of the equation. -6 + 6 + -1x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -2 + 6 -1x = -2 + 6 Combine like terms: -2 + 6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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