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Simplifying 3x + 74 = 7x + -6 Reorder the terms: 74 + 3x = 7x + -6 Reorder the terms: 74 + 3x = -6 + 7x Solving 74 + 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. 74 + 3x + -7x = -6 + 7x + -7x Combine like terms: 3x + -7x = -4x 74 + -4x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 74 + -4x = -6 + 0 74 + -4x = -6 Add '-74' to each side of the equation. 74 + -74 + -4x = -6 + -74 Combine like terms: 74 + -74 = 0 0 + -4x = -6 + -74 -4x = -6 + -74 Combine like terms: -6 + -74 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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