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Simplifying 1586 = 0.5(38 + x) * 26 Reorder the terms for easier multiplication: 1586 = 0.5 * 26(38 + x) Multiply 0.5 * 26 1586 = 13(38 + x) 1586 = (38 * 13 + x * 13) 1586 = (494 + 13x) Solving 1586 = 494 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 1586 + -13x = 494 + 13x + -13x Combine like terms: 13x + -13x = 0 1586 + -13x = 494 + 0 1586 + -13x = 494 Add '-1586' to each side of the equation. 1586 + -1586 + -13x = 494 + -1586 Combine like terms: 1586 + -1586 = 0 0 + -13x = 494 + -1586 -13x = 494 + -1586 Combine like terms: 494 + -1586 = -1092 -13x = -1092 Divide each side by '-13'. x = 84 Simplifying x = 84
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