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Simplifying 4x + 14 = -3x + 22 Reorder the terms: 14 + 4x = -3x + 22 Reorder the terms: 14 + 4x = 22 + -3x Solving 14 + 4x = 22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + 4x + 3x = 22 + -3x + 3x Combine like terms: 4x + 3x = 7x 14 + 7x = 22 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 7x = 22 + 0 14 + 7x = 22 Add '-14' to each side of the equation. 14 + -14 + 7x = 22 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 22 + -14 7x = 22 + -14 Combine like terms: 22 + -14 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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