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Simplifying (x * 3) + 209 = (x * 13) + -11 Reorder the terms for easier multiplication: (3x) + 209 = (x * 13) + -11 Reorder the terms: 209 + (3x) = (x * 13) + -11 Reorder the terms for easier multiplication: 209 + (3x) = (13x) + -11 Reorder the terms: 209 + (3x) = -11 + (13x) Solving 209 + (3x) = -11 + (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. 209 + (3x) + (-13x) = -11 + (13x) + (-13x) Combine like terms: (3x) + (-13x) = -10x 209 + -10x = -11 + (13x) + (-13x) Combine like terms: (13x) + (-13x) = 0 209 + -10x = -11 + 0 209 + -10x = -11 Add '-209' to each side of the equation. 209 + -209 + -10x = -11 + -209 Combine like terms: 209 + -209 = 0 0 + -10x = -11 + -209 -10x = -11 + -209 Combine like terms: -11 + -209 = -220 -10x = -220 Divide each side by '-10'. x = 22 Simplifying x = 22
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