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Simplifying 2x + x + 3 + 2x + 2 = 10 + x + 4 + 4 + 10 + x Reorder the terms: 3 + 2 + 2x + x + 2x = 10 + x + 4 + 4 + 10 + x Combine like terms: 3 + 2 = 5 5 + 2x + x + 2x = 10 + x + 4 + 4 + 10 + x Combine like terms: 2x + x = 3x 5 + 3x + 2x = 10 + x + 4 + 4 + 10 + x Combine like terms: 3x + 2x = 5x 5 + 5x = 10 + x + 4 + 4 + 10 + x Reorder the terms: 5 + 5x = 10 + 4 + 4 + 10 + x + x Combine like terms: 10 + 4 = 14 5 + 5x = 14 + 4 + 10 + x + x Combine like terms: 14 + 4 = 18 5 + 5x = 18 + 10 + x + x Combine like terms: 18 + 10 = 28 5 + 5x = 28 + x + x Combine like terms: x + x = 2x 5 + 5x = 28 + 2x Solving 5 + 5x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 5x + -2x = 28 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = 28 + 0 5 + 3x = 28 Add '-5' to each side of the equation. 5 + -5 + 3x = 28 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 28 + -5 3x = 28 + -5 Combine like terms: 28 + -5 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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