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Simplifying 2x + -7x + -6 = -2(10 + -1x) Reorder the terms: -6 + 2x + -7x = -2(10 + -1x) Combine like terms: 2x + -7x = -5x -6 + -5x = -2(10 + -1x) -6 + -5x = (10 * -2 + -1x * -2) -6 + -5x = (-20 + 2x) Solving -6 + -5x = -20 + 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 + -5x + -2x = -20 + 2x + -2x Combine like terms: -5x + -2x = -7x -6 + -7x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -7x = -20 + 0 -6 + -7x = -20 Add '6' to each side of the equation. -6 + 6 + -7x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = -20 + 6 -7x = -20 + 6 Combine like terms: -20 + 6 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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