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Simplifying 4x + 9 + -2x = 10 + x + 6 Reorder the terms: 9 + 4x + -2x = 10 + x + 6 Combine like terms: 4x + -2x = 2x 9 + 2x = 10 + x + 6 Reorder the terms: 9 + 2x = 10 + 6 + x Combine like terms: 10 + 6 = 16 9 + 2x = 16 + x Solving 9 + 2x = 16 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 2x + -1x = 16 + x + -1x Combine like terms: 2x + -1x = 1x 9 + 1x = 16 + x + -1x Combine like terms: x + -1x = 0 9 + 1x = 16 + 0 9 + 1x = 16 Add '-9' to each side of the equation. 9 + -9 + 1x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 16 + -9 1x = 16 + -9 Combine like terms: 16 + -9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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