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Simplifying 6(3 + -6x) = 16 + -13(1 + -5x) (3 * 6 + -6x * 6) = 16 + -13(1 + -5x) (18 + -36x) = 16 + -13(1 + -5x) 18 + -36x = 16 + (1 * -13 + -5x * -13) 18 + -36x = 16 + (-13 + 65x) Combine like terms: 16 + -13 = 3 18 + -36x = 3 + 65x Solving 18 + -36x = 3 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 18 + -36x + -65x = 3 + 65x + -65x Combine like terms: -36x + -65x = -101x 18 + -101x = 3 + 65x + -65x Combine like terms: 65x + -65x = 0 18 + -101x = 3 + 0 18 + -101x = 3 Add '-18' to each side of the equation. 18 + -18 + -101x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -101x = 3 + -18 -101x = 3 + -18 Combine like terms: 3 + -18 = -15 -101x = -15 Divide each side by '-101'. x = 0.1485148515 Simplifying x = 0.1485148515
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