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Simplifying 3x + 4x + 30 = 84 + x + 2x Reorder the terms: 30 + 3x + 4x = 84 + x + 2x Combine like terms: 3x + 4x = 7x 30 + 7x = 84 + x + 2x Combine like terms: x + 2x = 3x 30 + 7x = 84 + 3x Solving 30 + 7x = 84 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 7x + -3x = 84 + 3x + -3x Combine like terms: 7x + -3x = 4x 30 + 4x = 84 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 4x = 84 + 0 30 + 4x = 84 Add '-30' to each side of the equation. 30 + -30 + 4x = 84 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 84 + -30 4x = 84 + -30 Combine like terms: 84 + -30 = 54 4x = 54 Divide each side by '4'. x = 13.5 Simplifying x = 13.5
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