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Simplifying -6 + -3(8x + 2) = 3(6x + 2) + 2 Reorder the terms: -6 + -3(2 + 8x) = 3(6x + 2) + 2 -6 + (2 * -3 + 8x * -3) = 3(6x + 2) + 2 -6 + (-6 + -24x) = 3(6x + 2) + 2 Combine like terms: -6 + -6 = -12 -12 + -24x = 3(6x + 2) + 2 Reorder the terms: -12 + -24x = 3(2 + 6x) + 2 -12 + -24x = (2 * 3 + 6x * 3) + 2 -12 + -24x = (6 + 18x) + 2 Reorder the terms: -12 + -24x = 6 + 2 + 18x Combine like terms: 6 + 2 = 8 -12 + -24x = 8 + 18x Solving -12 + -24x = 8 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -12 + -24x + -18x = 8 + 18x + -18x Combine like terms: -24x + -18x = -42x -12 + -42x = 8 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + -42x = 8 + 0 -12 + -42x = 8 Add '12' to each side of the equation. -12 + 12 + -42x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -42x = 8 + 12 -42x = 8 + 12 Combine like terms: 8 + 12 = 20 -42x = 20 Divide each side by '-42'. x = -0.4761904762 Simplifying x = -0.4761904762
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