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Simplifying 2(-6 + -5x) = 33 + 5x (-6 * 2 + -5x * 2) = 33 + 5x (-12 + -10x) = 33 + 5x Solving -12 + -10x = 33 + 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. -12 + -10x + -5x = 33 + 5x + -5x Combine like terms: -10x + -5x = -15x -12 + -15x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -15x = 33 + 0 -12 + -15x = 33 Add '12' to each side of the equation. -12 + 12 + -15x = 33 + 12 Combine like terms: -12 + 12 = 0 0 + -15x = 33 + 12 -15x = 33 + 12 Combine like terms: 33 + 12 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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