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Simplifying -4(6x + 1) + 5(x + -1) = 13 Reorder the terms: -4(1 + 6x) + 5(x + -1) = 13 (1 * -4 + 6x * -4) + 5(x + -1) = 13 (-4 + -24x) + 5(x + -1) = 13 Reorder the terms: -4 + -24x + 5(-1 + x) = 13 -4 + -24x + (-1 * 5 + x * 5) = 13 -4 + -24x + (-5 + 5x) = 13 Reorder the terms: -4 + -5 + -24x + 5x = 13 Combine like terms: -4 + -5 = -9 -9 + -24x + 5x = 13 Combine like terms: -24x + 5x = -19x -9 + -19x = 13 Solving -9 + -19x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -19x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + -19x = 13 + 9 -19x = 13 + 9 Combine like terms: 13 + 9 = 22 -19x = 22 Divide each side by '-19'. x = -1.157894737 Simplifying x = -1.157894737
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