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Simplifying 3x + -1(5 + 6x) = 6x + 13 3x + (5 * -1 + 6x * -1) = 6x + 13 3x + (-5 + -6x) = 6x + 13 Reorder the terms: -5 + 3x + -6x = 6x + 13 Combine like terms: 3x + -6x = -3x -5 + -3x = 6x + 13 Reorder the terms: -5 + -3x = 13 + 6x Solving -5 + -3x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + -3x + -6x = 13 + 6x + -6x Combine like terms: -3x + -6x = -9x -5 + -9x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -9x = 13 + 0 -5 + -9x = 13 Add '5' to each side of the equation. -5 + 5 + -9x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 13 + 5 -9x = 13 + 5 Combine like terms: 13 + 5 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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