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Simplifying x + x + 2 + x + 2 * 2 + x + 2 * 3 + x + 2 * 4 = 55 Multiply 2 * 2 x + x + 2 + x + 4 + x + 2 * 3 + x + 2 * 4 = 55 Multiply 2 * 3 x + x + 2 + x + 4 + x + 6 + x + 2 * 4 = 55 Multiply 2 * 4 x + x + 2 + x + 4 + x + 6 + x + 8 = 55 Reorder the terms: 2 + 4 + 6 + 8 + x + x + x + x + x = 55 Combine like terms: 2 + 4 = 6 6 + 6 + 8 + x + x + x + x + x = 55 Combine like terms: 6 + 6 = 12 12 + 8 + x + x + x + x + x = 55 Combine like terms: 12 + 8 = 20 20 + x + x + x + x + x = 55 Combine like terms: x + x = 2x 20 + 2x + x + x + x = 55 Combine like terms: 2x + x = 3x 20 + 3x + x + x = 55 Combine like terms: 3x + x = 4x 20 + 4x + x = 55 Combine like terms: 4x + x = 5x 20 + 5x = 55 Solving 20 + 5x = 55 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 + 5x = 55 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 55 + -20 5x = 55 + -20 Combine like terms: 55 + -20 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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