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Simplifying -9x + 12 + 4(3x + -3) = 7(x + -2) * 13 + -14c + 14 Reorder the terms: -9x + 12 + 4(-3 + 3x) = 7(x + -2) * 13 + -14c + 14 -9x + 12 + (-3 * 4 + 3x * 4) = 7(x + -2) * 13 + -14c + 14 -9x + 12 + (-12 + 12x) = 7(x + -2) * 13 + -14c + 14 Reorder the terms: 12 + -12 + -9x + 12x = 7(x + -2) * 13 + -14c + 14 Combine like terms: 12 + -12 = 0 0 + -9x + 12x = 7(x + -2) * 13 + -14c + 14 -9x + 12x = 7(x + -2) * 13 + -14c + 14 Combine like terms: -9x + 12x = 3x 3x = 7(x + -2) * 13 + -14c + 14 Reorder the terms: 3x = 7(-2 + x) * 13 + -14c + 14 Reorder the terms for easier multiplication: 3x = 7 * 13(-2 + x) + -14c + 14 Multiply 7 * 13 3x = 91(-2 + x) + -14c + 14 3x = (-2 * 91 + x * 91) + -14c + 14 3x = (-182 + 91x) + -14c + 14 Reorder the terms: 3x = -182 + 14 + -14c + 91x Combine like terms: -182 + 14 = -168 3x = -168 + -14c + 91x Solving 3x = -168 + -14c + 91x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91x' to each side of the equation. 3x + -91x = -168 + -14c + 91x + -91x Combine like terms: 3x + -91x = -88x -88x = -168 + -14c + 91x + -91x Combine like terms: 91x + -91x = 0 -88x = -168 + -14c + 0 -88x = -168 + -14c Divide each side by '-88'. x = 1.909090909 + 0.1590909091c Simplifying x = 1.909090909 + 0.1590909091c
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