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Simplifying 5.2x + -7 = 2.2x + 8 Reorder the terms: -7 + 5.2x = 2.2x + 8 Reorder the terms: -7 + 5.2x = 8 + 2.2x Solving -7 + 5.2x = 8 + 2.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.2x' to each side of the equation. -7 + 5.2x + -2.2x = 8 + 2.2x + -2.2x Combine like terms: 5.2x + -2.2x = 3x -7 + 3x = 8 + 2.2x + -2.2x Combine like terms: 2.2x + -2.2x = 0.0 -7 + 3x = 8 + 0.0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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