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Simplifying 13(9x + -4) = 3x + -7 Reorder the terms: 13(-4 + 9x) = 3x + -7 (-4 * 13 + 9x * 13) = 3x + -7 (-52 + 117x) = 3x + -7 Reorder the terms: -52 + 117x = -7 + 3x Solving -52 + 117x = -7 + 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 + 117x + -3x = -7 + 3x + -3x Combine like terms: 117x + -3x = 114x -52 + 114x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -52 + 114x = -7 + 0 -52 + 114x = -7 Add '52' to each side of the equation. -52 + 52 + 114x = -7 + 52 Combine like terms: -52 + 52 = 0 0 + 114x = -7 + 52 114x = -7 + 52 Combine like terms: -7 + 52 = 45 114x = 45 Divide each side by '114'. x = 0.3947368421 Simplifying x = 0.3947368421
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