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Simplifying 3(x + 14) + -2(x + 3) = 12(x + -3) Reorder the terms: 3(14 + x) + -2(x + 3) = 12(x + -3) (14 * 3 + x * 3) + -2(x + 3) = 12(x + -3) (42 + 3x) + -2(x + 3) = 12(x + -3) Reorder the terms: 42 + 3x + -2(3 + x) = 12(x + -3) 42 + 3x + (3 * -2 + x * -2) = 12(x + -3) 42 + 3x + (-6 + -2x) = 12(x + -3) Reorder the terms: 42 + -6 + 3x + -2x = 12(x + -3) Combine like terms: 42 + -6 = 36 36 + 3x + -2x = 12(x + -3) Combine like terms: 3x + -2x = 1x 36 + 1x = 12(x + -3) Reorder the terms: 36 + 1x = 12(-3 + x) 36 + 1x = (-3 * 12 + x * 12) 36 + 1x = (-36 + 12x) Solving 36 + 1x = -36 + 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. 36 + 1x + -12x = -36 + 12x + -12x Combine like terms: 1x + -12x = -11x 36 + -11x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + -11x = -36 + 0 36 + -11x = -36 Add '-36' to each side of the equation. 36 + -36 + -11x = -36 + -36 Combine like terms: 36 + -36 = 0 0 + -11x = -36 + -36 -11x = -36 + -36 Combine like terms: -36 + -36 = -72 -11x = -72 Divide each side by '-11'. x = 6.545454545 Simplifying x = 6.545454545
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