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Simplifying 12x + -5 + 9x + -4 = -18x + 7 + -6x + -1 Reorder the terms: -5 + -4 + 12x + 9x = -18x + 7 + -6x + -1 Combine like terms: -5 + -4 = -9 -9 + 12x + 9x = -18x + 7 + -6x + -1 Combine like terms: 12x + 9x = 21x -9 + 21x = -18x + 7 + -6x + -1 Reorder the terms: -9 + 21x = 7 + -1 + -18x + -6x Combine like terms: 7 + -1 = 6 -9 + 21x = 6 + -18x + -6x Combine like terms: -18x + -6x = -24x -9 + 21x = 6 + -24x Solving -9 + 21x = 6 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -9 + 21x + 24x = 6 + -24x + 24x Combine like terms: 21x + 24x = 45x -9 + 45x = 6 + -24x + 24x Combine like terms: -24x + 24x = 0 -9 + 45x = 6 + 0 -9 + 45x = 6 Add '9' to each side of the equation. -9 + 9 + 45x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 45x = 6 + 9 45x = 6 + 9 Combine like terms: 6 + 9 = 15 45x = 15 Divide each side by '45'. x = 0.3333333333 Simplifying x = 0.3333333333
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