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Simplifying 3(x + -3) + -1(6x + 3) = 6(3x + 3) Reorder the terms: 3(-3 + x) + -1(6x + 3) = 6(3x + 3) (-3 * 3 + x * 3) + -1(6x + 3) = 6(3x + 3) (-9 + 3x) + -1(6x + 3) = 6(3x + 3) Reorder the terms: -9 + 3x + -1(3 + 6x) = 6(3x + 3) -9 + 3x + (3 * -1 + 6x * -1) = 6(3x + 3) -9 + 3x + (-3 + -6x) = 6(3x + 3) Reorder the terms: -9 + -3 + 3x + -6x = 6(3x + 3) Combine like terms: -9 + -3 = -12 -12 + 3x + -6x = 6(3x + 3) Combine like terms: 3x + -6x = -3x -12 + -3x = 6(3x + 3) Reorder the terms: -12 + -3x = 6(3 + 3x) -12 + -3x = (3 * 6 + 3x * 6) -12 + -3x = (18 + 18x) Solving -12 + -3x = 18 + 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 + -3x + -18x = 18 + 18x + -18x Combine like terms: -3x + -18x = -21x -12 + -21x = 18 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + -21x = 18 + 0 -12 + -21x = 18 Add '12' to each side of the equation. -12 + 12 + -21x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -21x = 18 + 12 -21x = 18 + 12 Combine like terms: 18 + 12 = 30 -21x = 30 Divide each side by '-21'. x = -1.428571429 Simplifying x = -1.428571429
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