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Simplifying -6(x + 1) = -2(9x + -4) + 6x Reorder the terms: -6(1 + x) = -2(9x + -4) + 6x (1 * -6 + x * -6) = -2(9x + -4) + 6x (-6 + -6x) = -2(9x + -4) + 6x Reorder the terms: -6 + -6x = -2(-4 + 9x) + 6x -6 + -6x = (-4 * -2 + 9x * -2) + 6x -6 + -6x = (8 + -18x) + 6x Combine like terms: -18x + 6x = -12x -6 + -6x = 8 + -12x Solving -6 + -6x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6 + -6x + 12x = 8 + -12x + 12x Combine like terms: -6x + 12x = 6x -6 + 6x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 6x = 8 + 0 -6 + 6x = 8 Add '6' to each side of the equation. -6 + 6 + 6x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 8 + 6 6x = 8 + 6 Combine like terms: 8 + 6 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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