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Simplifying 6 + -6x + -4 = -33 + 3x + -10 Reorder the terms: 6 + -4 + -6x = -33 + 3x + -10 Combine like terms: 6 + -4 = 2 2 + -6x = -33 + 3x + -10 Reorder the terms: 2 + -6x = -33 + -10 + 3x Combine like terms: -33 + -10 = -43 2 + -6x = -43 + 3x Solving 2 + -6x = -43 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + -6x + -3x = -43 + 3x + -3x Combine like terms: -6x + -3x = -9x 2 + -9x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -9x = -43 + 0 2 + -9x = -43 Add '-2' to each side of the equation. 2 + -2 + -9x = -43 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = -43 + -2 -9x = -43 + -2 Combine like terms: -43 + -2 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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