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Simplifying 4x + 22 = -2(14 + 3x) Reorder the terms: 22 + 4x = -2(14 + 3x) 22 + 4x = (14 * -2 + 3x * -2) 22 + 4x = (-28 + -6x) Solving 22 + 4x = -28 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 22 + 4x + 6x = -28 + -6x + 6x Combine like terms: 4x + 6x = 10x 22 + 10x = -28 + -6x + 6x Combine like terms: -6x + 6x = 0 22 + 10x = -28 + 0 22 + 10x = -28 Add '-22' to each side of the equation. 22 + -22 + 10x = -28 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = -28 + -22 10x = -28 + -22 Combine like terms: -28 + -22 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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