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Simplifying 74 + -6x = 7x + 22 Reorder the terms: 74 + -6x = 22 + 7x Solving 74 + -6x = 22 + 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. 74 + -6x + -7x = 22 + 7x + -7x Combine like terms: -6x + -7x = -13x 74 + -13x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 74 + -13x = 22 + 0 74 + -13x = 22 Add '-74' to each side of the equation. 74 + -74 + -13x = 22 + -74 Combine like terms: 74 + -74 = 0 0 + -13x = 22 + -74 -13x = 22 + -74 Combine like terms: 22 + -74 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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