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Simplifying 6(3x + -3) + 5(x + 18) = 147 Reorder the terms: 6(-3 + 3x) + 5(x + 18) = 147 (-3 * 6 + 3x * 6) + 5(x + 18) = 147 (-18 + 18x) + 5(x + 18) = 147 Reorder the terms: -18 + 18x + 5(18 + x) = 147 -18 + 18x + (18 * 5 + x * 5) = 147 -18 + 18x + (90 + 5x) = 147 Reorder the terms: -18 + 90 + 18x + 5x = 147 Combine like terms: -18 + 90 = 72 72 + 18x + 5x = 147 Combine like terms: 18x + 5x = 23x 72 + 23x = 147 Solving 72 + 23x = 147 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 23x = 147 + -72 Combine like terms: 72 + -72 = 0 0 + 23x = 147 + -72 23x = 147 + -72 Combine like terms: 147 + -72 = 75 23x = 75 Divide each side by '23'. x = 3.260869565 Simplifying x = 3.260869565
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