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Simplifying 5(x + 13) = 18(4 + x) Reorder the terms: 5(13 + x) = 18(4 + x) (13 * 5 + x * 5) = 18(4 + x) (65 + 5x) = 18(4 + x) 65 + 5x = (4 * 18 + x * 18) 65 + 5x = (72 + 18x) Solving 65 + 5x = 72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 65 + 5x + -18x = 72 + 18x + -18x Combine like terms: 5x + -18x = -13x 65 + -13x = 72 + 18x + -18x Combine like terms: 18x + -18x = 0 65 + -13x = 72 + 0 65 + -13x = 72 Add '-65' to each side of the equation. 65 + -65 + -13x = 72 + -65 Combine like terms: 65 + -65 = 0 0 + -13x = 72 + -65 -13x = 72 + -65 Combine like terms: 72 + -65 = 7 -13x = 7 Divide each side by '-13'. x = -0.5384615385 Simplifying x = -0.5384615385
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