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Simplifying 13 + -5x + 3(2x + -9) = 12x Reorder the terms: 13 + -5x + 3(-9 + 2x) = 12x 13 + -5x + (-9 * 3 + 2x * 3) = 12x 13 + -5x + (-27 + 6x) = 12x Reorder the terms: 13 + -27 + -5x + 6x = 12x Combine like terms: 13 + -27 = -14 -14 + -5x + 6x = 12x Combine like terms: -5x + 6x = 1x -14 + 1x = 12x Solving -14 + 1x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 1x + -12x = 12x + -12x Combine like terms: 1x + -12x = -11x -14 + -11x = 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -11x = 0 Add '14' to each side of the equation. -14 + 14 + -11x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -11x = 0 + 14 -11x = 0 + 14 Combine like terms: 0 + 14 = 14 -11x = 14 Divide each side by '-11'. x = -1.272727273 Simplifying x = -1.272727273
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