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Simplifying 3(x + -2) = 2x + -1(x + -6) Reorder the terms: 3(-2 + x) = 2x + -1(x + -6) (-2 * 3 + x * 3) = 2x + -1(x + -6) (-6 + 3x) = 2x + -1(x + -6) Reorder the terms: -6 + 3x = 2x + -1(-6 + x) -6 + 3x = 2x + (-6 * -1 + x * -1) -6 + 3x = 2x + (6 + -1x) Reorder the terms: -6 + 3x = 6 + 2x + -1x Combine like terms: 2x + -1x = 1x -6 + 3x = 6 + 1x Solving -6 + 3x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 3x + -1x = 6 + 1x + -1x Combine like terms: 3x + -1x = 2x -6 + 2x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 2x = 6 + 0 -6 + 2x = 6 Add '6' to each side of the equation. -6 + 6 + 2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 6 + 6 2x = 6 + 6 Combine like terms: 6 + 6 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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