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Simplifying 3(3x + -2) = 6 + -3(8 + -2x) Reorder the terms: 3(-2 + 3x) = 6 + -3(8 + -2x) (-2 * 3 + 3x * 3) = 6 + -3(8 + -2x) (-6 + 9x) = 6 + -3(8 + -2x) -6 + 9x = 6 + (8 * -3 + -2x * -3) -6 + 9x = 6 + (-24 + 6x) Combine like terms: 6 + -24 = -18 -6 + 9x = -18 + 6x Solving -6 + 9x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 9x + -6x = -18 + 6x + -6x Combine like terms: 9x + -6x = 3x -6 + 3x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 3x = -18 + 0 -6 + 3x = -18 Add '6' to each side of the equation. -6 + 6 + 3x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -18 + 6 3x = -18 + 6 Combine like terms: -18 + 6 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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