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Simplifying 513 = (2x + 15) + x + 6(0.65x) Reorder the terms: 513 = (15 + 2x) + x + 6(0.65x) Remove parenthesis around (15 + 2x) 513 = 15 + 2x + x + 6(0.65x) Remove parenthesis around (0.65x) 513 = 15 + 2x + x + 6 * 0.65x Multiply 6 * 0.65 513 = 15 + 2x + x + 3.9x Combine like terms: 2x + x = 3x 513 = 15 + 3x + 3.9x Combine like terms: 3x + 3.9x = 6.9x 513 = 15 + 6.9x Solving 513 = 15 + 6.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.9x' to each side of the equation. 513 + -6.9x = 15 + 6.9x + -6.9x Combine like terms: 6.9x + -6.9x = 0.0 513 + -6.9x = 15 + 0.0 513 + -6.9x = 15 Add '-513' to each side of the equation. 513 + -513 + -6.9x = 15 + -513 Combine like terms: 513 + -513 = 0 0 + -6.9x = 15 + -513 -6.9x = 15 + -513 Combine like terms: 15 + -513 = -498 -6.9x = -498 Divide each side by '-6.9'. x = 72.17391304 Simplifying x = 72.17391304
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