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Simplifying 3x + 8 + 2x + 15 + 3(x + -3) + 3x + -4 + 2x + 10 = 900 Reorder the terms: 3x + 8 + 2x + 15 + 3(-3 + x) + 3x + -4 + 2x + 10 = 900 3x + 8 + 2x + 15 + (-3 * 3 + x * 3) + 3x + -4 + 2x + 10 = 900 3x + 8 + 2x + 15 + (-9 + 3x) + 3x + -4 + 2x + 10 = 900 Reorder the terms: 8 + 15 + -9 + -4 + 10 + 3x + 2x + 3x + 3x + 2x = 900 Combine like terms: 8 + 15 = 23 23 + -9 + -4 + 10 + 3x + 2x + 3x + 3x + 2x = 900 Combine like terms: 23 + -9 = 14 14 + -4 + 10 + 3x + 2x + 3x + 3x + 2x = 900 Combine like terms: 14 + -4 = 10 10 + 10 + 3x + 2x + 3x + 3x + 2x = 900 Combine like terms: 10 + 10 = 20 20 + 3x + 2x + 3x + 3x + 2x = 900 Combine like terms: 3x + 2x = 5x 20 + 5x + 3x + 3x + 2x = 900 Combine like terms: 5x + 3x = 8x 20 + 8x + 3x + 2x = 900 Combine like terms: 8x + 3x = 11x 20 + 11x + 2x = 900 Combine like terms: 11x + 2x = 13x 20 + 13x = 900 Solving 20 + 13x = 900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 13x = 900 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 900 + -20 13x = 900 + -20 Combine like terms: 900 + -20 = 880 13x = 880 Divide each side by '13'. x = 67.69230769 Simplifying x = 67.69230769
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