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Simplifying 6.7x + 2 = 2.7x + 30 Reorder the terms: 2 + 6.7x = 2.7x + 30 Reorder the terms: 2 + 6.7x = 30 + 2.7x Solving 2 + 6.7x = 30 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 2 + 6.7x + -2.7x = 30 + 2.7x + -2.7x Combine like terms: 6.7x + -2.7x = 4x 2 + 4x = 30 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 2 + 4x = 30 + 0.0 2 + 4x = 30 Add '-2' to each side of the equation. 2 + -2 + 4x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 30 + -2 4x = 30 + -2 Combine like terms: 30 + -2 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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