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Simplifying (6x + -74) = (2x + 30) Reorder the terms: (-74 + 6x) = (2x + 30) Remove parenthesis around (-74 + 6x) -74 + 6x = (2x + 30) Reorder the terms: -74 + 6x = (30 + 2x) Remove parenthesis around (30 + 2x) -74 + 6x = 30 + 2x Solving -74 + 6x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -74 + 6x + -2x = 30 + 2x + -2x Combine like terms: 6x + -2x = 4x -74 + 4x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 -74 + 4x = 30 + 0 -74 + 4x = 30 Add '74' to each side of the equation. -74 + 74 + 4x = 30 + 74 Combine like terms: -74 + 74 = 0 0 + 4x = 30 + 74 4x = 30 + 74 Combine like terms: 30 + 74 = 104 4x = 104 Divide each side by '4'. x = 26 Simplifying x = 26
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