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Simplifying 3x + 4 = 12x + -15 + 2x + 2 Reorder the terms: 4 + 3x = 12x + -15 + 2x + 2 Reorder the terms: 4 + 3x = -15 + 2 + 12x + 2x Combine like terms: -15 + 2 = -13 4 + 3x = -13 + 12x + 2x Combine like terms: 12x + 2x = 14x 4 + 3x = -13 + 14x Solving 4 + 3x = -13 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 4 + 3x + -14x = -13 + 14x + -14x Combine like terms: 3x + -14x = -11x 4 + -11x = -13 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + -11x = -13 + 0 4 + -11x = -13 Add '-4' to each side of the equation. 4 + -4 + -11x = -13 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = -13 + -4 -11x = -13 + -4 Combine like terms: -13 + -4 = -17 -11x = -17 Divide each side by '-11'. x = 1.545454545 Simplifying x = 1.545454545
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