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Simplifying 3x + -12 + 6x = 6(3x + -3) + 3 Reorder the terms: -12 + 3x + 6x = 6(3x + -3) + 3 Combine like terms: 3x + 6x = 9x -12 + 9x = 6(3x + -3) + 3 Reorder the terms: -12 + 9x = 6(-3 + 3x) + 3 -12 + 9x = (-3 * 6 + 3x * 6) + 3 -12 + 9x = (-18 + 18x) + 3 Reorder the terms: -12 + 9x = -18 + 3 + 18x Combine like terms: -18 + 3 = -15 -12 + 9x = -15 + 18x Solving -12 + 9x = -15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -12 + 9x + -18x = -15 + 18x + -18x Combine like terms: 9x + -18x = -9x -12 + -9x = -15 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + -9x = -15 + 0 -12 + -9x = -15 Add '12' to each side of the equation. -12 + 12 + -9x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = -15 + 12 -9x = -15 + 12 Combine like terms: -15 + 12 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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