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Simplifying 6(4 + 7x) = -13 + 5x (4 * 6 + 7x * 6) = -13 + 5x (24 + 42x) = -13 + 5x Solving 24 + 42x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 42x + -5x = -13 + 5x + -5x Combine like terms: 42x + -5x = 37x 24 + 37x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 37x = -13 + 0 24 + 37x = -13 Add '-24' to each side of the equation. 24 + -24 + 37x = -13 + -24 Combine like terms: 24 + -24 = 0 0 + 37x = -13 + -24 37x = -13 + -24 Combine like terms: -13 + -24 = -37 37x = -37 Divide each side by '37'. x = -1 Simplifying x = -1
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