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Simplifying -6(3x + 2) = -2x + -36 + -10x Reorder the terms: -6(2 + 3x) = -2x + -36 + -10x (2 * -6 + 3x * -6) = -2x + -36 + -10x (-12 + -18x) = -2x + -36 + -10x Reorder the terms: -12 + -18x = -36 + -2x + -10x Combine like terms: -2x + -10x = -12x -12 + -18x = -36 + -12x Solving -12 + -18x = -36 + -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. -12 + -18x + 12x = -36 + -12x + 12x Combine like terms: -18x + 12x = -6x -12 + -6x = -36 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + -6x = -36 + 0 -12 + -6x = -36 Add '12' to each side of the equation. -12 + 12 + -6x = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -36 + 12 -6x = -36 + 12 Combine like terms: -36 + 12 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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