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Simplifying -13 + -4x = 7(5x + 4) + -2 Reorder the terms: -13 + -4x = 7(4 + 5x) + -2 -13 + -4x = (4 * 7 + 5x * 7) + -2 -13 + -4x = (28 + 35x) + -2 Reorder the terms: -13 + -4x = 28 + -2 + 35x Combine like terms: 28 + -2 = 26 -13 + -4x = 26 + 35x Solving -13 + -4x = 26 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -13 + -4x + -35x = 26 + 35x + -35x Combine like terms: -4x + -35x = -39x -13 + -39x = 26 + 35x + -35x Combine like terms: 35x + -35x = 0 -13 + -39x = 26 + 0 -13 + -39x = 26 Add '13' to each side of the equation. -13 + 13 + -39x = 26 + 13 Combine like terms: -13 + 13 = 0 0 + -39x = 26 + 13 -39x = 26 + 13 Combine like terms: 26 + 13 = 39 -39x = 39 Divide each side by '-39'. x = -1 Simplifying x = -1
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