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Simplifying 3(-3x + -6) + 2(6 + x) = -2x + 6 Reorder the terms: 3(-6 + -3x) + 2(6 + x) = -2x + 6 (-6 * 3 + -3x * 3) + 2(6 + x) = -2x + 6 (-18 + -9x) + 2(6 + x) = -2x + 6 -18 + -9x + (6 * 2 + x * 2) = -2x + 6 -18 + -9x + (12 + 2x) = -2x + 6 Reorder the terms: -18 + 12 + -9x + 2x = -2x + 6 Combine like terms: -18 + 12 = -6 -6 + -9x + 2x = -2x + 6 Combine like terms: -9x + 2x = -7x -6 + -7x = -2x + 6 Reorder the terms: -6 + -7x = 6 + -2x Solving -6 + -7x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + -7x + 2x = 6 + -2x + 2x Combine like terms: -7x + 2x = -5x -6 + -5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -5x = 6 + 0 -6 + -5x = 6 Add '6' to each side of the equation. -6 + 6 + -5x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 6 + 6 -5x = 6 + 6 Combine like terms: 6 + 6 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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