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Simplifying x + x + -10 + x + -20 + 21 + 42 + 29 + x + 14 = 900 Reorder the terms: -10 + -20 + 21 + 42 + 29 + 14 + x + x + x + x = 900 Combine like terms: -10 + -20 = -30 -30 + 21 + 42 + 29 + 14 + x + x + x + x = 900 Combine like terms: -30 + 21 = -9 -9 + 42 + 29 + 14 + x + x + x + x = 900 Combine like terms: -9 + 42 = 33 33 + 29 + 14 + x + x + x + x = 900 Combine like terms: 33 + 29 = 62 62 + 14 + x + x + x + x = 900 Combine like terms: 62 + 14 = 76 76 + x + x + x + x = 900 Combine like terms: x + x = 2x 76 + 2x + x + x = 900 Combine like terms: 2x + x = 3x 76 + 3x + x = 900 Combine like terms: 3x + x = 4x 76 + 4x = 900 Solving 76 + 4x = 900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 4x = 900 + -76 Combine like terms: 76 + -76 = 0 0 + 4x = 900 + -76 4x = 900 + -76 Combine like terms: 900 + -76 = 824 4x = 824 Divide each side by '4'. x = 206 Simplifying x = 206
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