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Simplifying 5(x + 7) + 4(x + 13) = 220 Reorder the terms: 5(7 + x) + 4(x + 13) = 220 (7 * 5 + x * 5) + 4(x + 13) = 220 (35 + 5x) + 4(x + 13) = 220 Reorder the terms: 35 + 5x + 4(13 + x) = 220 35 + 5x + (13 * 4 + x * 4) = 220 35 + 5x + (52 + 4x) = 220 Reorder the terms: 35 + 52 + 5x + 4x = 220 Combine like terms: 35 + 52 = 87 87 + 5x + 4x = 220 Combine like terms: 5x + 4x = 9x 87 + 9x = 220 Solving 87 + 9x = 220 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + 9x = 220 + -87 Combine like terms: 87 + -87 = 0 0 + 9x = 220 + -87 9x = 220 + -87 Combine like terms: 220 + -87 = 133 9x = 133 Divide each side by '9'. x = 14.77777778 Simplifying x = 14.77777778
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