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Simplifying 18 + 6x + -12 = -4(2 + -1c) + 9x Reorder the terms: 18 + -12 + 6x = -4(2 + -1c) + 9x Combine like terms: 18 + -12 = 6 6 + 6x = -4(2 + -1c) + 9x 6 + 6x = (2 * -4 + -1c * -4) + 9x 6 + 6x = (-8 + 4c) + 9x Solving 6 + 6x = -8 + 4c + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 6x + -9x = -8 + 4c + 9x + -9x Combine like terms: 6x + -9x = -3x 6 + -3x = -8 + 4c + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -3x = -8 + 4c + 0 6 + -3x = -8 + 4c Add '-6' to each side of the equation. 6 + -6 + -3x = -8 + -6 + 4c Combine like terms: 6 + -6 = 0 0 + -3x = -8 + -6 + 4c -3x = -8 + -6 + 4c Combine like terms: -8 + -6 = -14 -3x = -14 + 4c Divide each side by '-3'. x = 4.666666667 + -1.333333333c Simplifying x = 4.666666667 + -1.333333333c
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