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Simplifying 3(x + -2) = 6 + -2(x + 10) Reorder the terms: 3(-2 + x) = 6 + -2(x + 10) (-2 * 3 + x * 3) = 6 + -2(x + 10) (-6 + 3x) = 6 + -2(x + 10) Reorder the terms: -6 + 3x = 6 + -2(10 + x) -6 + 3x = 6 + (10 * -2 + x * -2) -6 + 3x = 6 + (-20 + -2x) Combine like terms: 6 + -20 = -14 -6 + 3x = -14 + -2x Solving -6 + 3x = -14 + -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 + 3x + 2x = -14 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = -14 + 0 -6 + 5x = -14 Add '6' to each side of the equation. -6 + 6 + 5x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -14 + 6 5x = -14 + 6 Combine like terms: -14 + 6 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6
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