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Simplifying -14x + 148 = -5x + 1 + 12x Reorder the terms: 148 + -14x = -5x + 1 + 12x Reorder the terms: 148 + -14x = 1 + -5x + 12x Combine like terms: -5x + 12x = 7x 148 + -14x = 1 + 7x Solving 148 + -14x = 1 + 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. 148 + -14x + -7x = 1 + 7x + -7x Combine like terms: -14x + -7x = -21x 148 + -21x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 148 + -21x = 1 + 0 148 + -21x = 1 Add '-148' to each side of the equation. 148 + -148 + -21x = 1 + -148 Combine like terms: 148 + -148 = 0 0 + -21x = 1 + -148 -21x = 1 + -148 Combine like terms: 1 + -148 = -147 -21x = -147 Divide each side by '-21'. x = 7 Simplifying x = 7
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