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Simplifying 4x + 14 = -2x + -22 + 12 Reorder the terms: 14 + 4x = -2x + -22 + 12 Reorder the terms: 14 + 4x = -22 + 12 + -2x Combine like terms: -22 + 12 = -10 14 + 4x = -10 + -2x Solving 14 + 4x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 4x + 2x = -10 + -2x + 2x Combine like terms: 4x + 2x = 6x 14 + 6x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 6x = -10 + 0 14 + 6x = -10 Add '-14' to each side of the equation. 14 + -14 + 6x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = -10 + -14 6x = -10 + -14 Combine like terms: -10 + -14 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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