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Simplifying 3(x + -2) = 6(2x + -8) Reorder the terms: 3(-2 + x) = 6(2x + -8) (-2 * 3 + x * 3) = 6(2x + -8) (-6 + 3x) = 6(2x + -8) Reorder the terms: -6 + 3x = 6(-8 + 2x) -6 + 3x = (-8 * 6 + 2x * 6) -6 + 3x = (-48 + 12x) Solving -6 + 3x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 3x + -12x = -48 + 12x + -12x Combine like terms: 3x + -12x = -9x -6 + -9x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -9x = -48 + 0 -6 + -9x = -48 Add '6' to each side of the equation. -6 + 6 + -9x = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -48 + 6 -9x = -48 + 6 Combine like terms: -48 + 6 = -42 -9x = -42 Divide each side by '-9'. x = 4.666666667 Simplifying x = 4.666666667
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