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Simplifying 3(x + 4) + -22 = 14x + 28 Reorder the terms: 3(4 + x) + -22 = 14x + 28 (4 * 3 + x * 3) + -22 = 14x + 28 (12 + 3x) + -22 = 14x + 28 Reorder the terms: 12 + -22 + 3x = 14x + 28 Combine like terms: 12 + -22 = -10 -10 + 3x = 14x + 28 Reorder the terms: -10 + 3x = 28 + 14x Solving -10 + 3x = 28 + 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. -10 + 3x + -14x = 28 + 14x + -14x Combine like terms: 3x + -14x = -11x -10 + -11x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + -11x = 28 + 0 -10 + -11x = 28 Add '10' to each side of the equation. -10 + 10 + -11x = 28 + 10 Combine like terms: -10 + 10 = 0 0 + -11x = 28 + 10 -11x = 28 + 10 Combine like terms: 28 + 10 = 38 -11x = 38 Divide each side by '-11'. x = -3.454545455 Simplifying x = -3.454545455
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