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Simplifying 13(7x + -4) = 3x + -6 Reorder the terms: 13(-4 + 7x) = 3x + -6 (-4 * 13 + 7x * 13) = 3x + -6 (-52 + 91x) = 3x + -6 Reorder the terms: -52 + 91x = -6 + 3x Solving -52 + 91x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -52 + 91x + -3x = -6 + 3x + -3x Combine like terms: 91x + -3x = 88x -52 + 88x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -52 + 88x = -6 + 0 -52 + 88x = -6 Add '52' to each side of the equation. -52 + 52 + 88x = -6 + 52 Combine like terms: -52 + 52 = 0 0 + 88x = -6 + 52 88x = -6 + 52 Combine like terms: -6 + 52 = 46 88x = 46 Divide each side by '88'. x = 0.5227272727 Simplifying x = 0.5227272727
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