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Simplifying 5x + -9 + 2x + -2 = 10 + 3x + -3 Reorder the terms: -9 + -2 + 5x + 2x = 10 + 3x + -3 Combine like terms: -9 + -2 = -11 -11 + 5x + 2x = 10 + 3x + -3 Combine like terms: 5x + 2x = 7x -11 + 7x = 10 + 3x + -3 Reorder the terms: -11 + 7x = 10 + -3 + 3x Combine like terms: 10 + -3 = 7 -11 + 7x = 7 + 3x Solving -11 + 7x = 7 + 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. -11 + 7x + -3x = 7 + 3x + -3x Combine like terms: 7x + -3x = 4x -11 + 4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 4x = 7 + 0 -11 + 4x = 7 Add '11' to each side of the equation. -11 + 11 + 4x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 7 + 11 4x = 7 + 11 Combine like terms: 7 + 11 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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