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Simplifying 3x + 14 = 7x + -6 Reorder the terms: 14 + 3x = 7x + -6 Reorder the terms: 14 + 3x = -6 + 7x Solving 14 + 3x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + 3x + -7x = -6 + 7x + -7x Combine like terms: 3x + -7x = -4x 14 + -4x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -4x = -6 + 0 14 + -4x = -6 Add '-14' to each side of the equation. 14 + -14 + -4x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -6 + -14 -4x = -6 + -14 Combine like terms: -6 + -14 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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