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Simplifying -3(x + 2) = 3x + -9 + 6(2x + 3) Reorder the terms: -3(2 + x) = 3x + -9 + 6(2x + 3) (2 * -3 + x * -3) = 3x + -9 + 6(2x + 3) (-6 + -3x) = 3x + -9 + 6(2x + 3) Reorder the terms: -6 + -3x = 3x + -9 + 6(3 + 2x) -6 + -3x = 3x + -9 + (3 * 6 + 2x * 6) -6 + -3x = 3x + -9 + (18 + 12x) Reorder the terms: -6 + -3x = -9 + 18 + 3x + 12x Combine like terms: -9 + 18 = 9 -6 + -3x = 9 + 3x + 12x Combine like terms: 3x + 12x = 15x -6 + -3x = 9 + 15x Solving -6 + -3x = 9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + -3x + -15x = 9 + 15x + -15x Combine like terms: -3x + -15x = -18x -6 + -18x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -18x = 9 + 0 -6 + -18x = 9 Add '6' to each side of the equation. -6 + 6 + -18x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -18x = 9 + 6 -18x = 9 + 6 Combine like terms: 9 + 6 = 15 -18x = 15 Divide each side by '-18'. x = -0.8333333333 Simplifying x = -0.8333333333
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