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Simplifying 13(x + -6) = 9x + 118 Reorder the terms: 13(-6 + x) = 9x + 118 (-6 * 13 + x * 13) = 9x + 118 (-78 + 13x) = 9x + 118 Reorder the terms: -78 + 13x = 118 + 9x Solving -78 + 13x = 118 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -78 + 13x + -9x = 118 + 9x + -9x Combine like terms: 13x + -9x = 4x -78 + 4x = 118 + 9x + -9x Combine like terms: 9x + -9x = 0 -78 + 4x = 118 + 0 -78 + 4x = 118 Add '78' to each side of the equation. -78 + 78 + 4x = 118 + 78 Combine like terms: -78 + 78 = 0 0 + 4x = 118 + 78 4x = 118 + 78 Combine like terms: 118 + 78 = 196 4x = 196 Divide each side by '4'. x = 49 Simplifying x = 49
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