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Simplifying x + 2 = 3(4x + -2) Reorder the terms: 2 + x = 3(4x + -2) Reorder the terms: 2 + x = 3(-2 + 4x) 2 + x = (-2 * 3 + 4x * 3) 2 + x = (-6 + 12x) Solving 2 + x = -6 + 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. 2 + x + -12x = -6 + 12x + -12x Combine like terms: x + -12x = -11x 2 + -11x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -11x = -6 + 0 2 + -11x = -6 Add '-2' to each side of the equation. 2 + -2 + -11x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = -6 + -2 -11x = -6 + -2 Combine like terms: -6 + -2 = -8 -11x = -8 Divide each side by '-11'. x = 0.7272727273 Simplifying x = 0.7272727273
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