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Simplifying -19 + -7x = 9(10 + -4x) + 7 -19 + -7x = (10 * 9 + -4x * 9) + 7 -19 + -7x = (90 + -36x) + 7 Reorder the terms: -19 + -7x = 90 + 7 + -36x Combine like terms: 90 + 7 = 97 -19 + -7x = 97 + -36x Solving -19 + -7x = 97 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -19 + -7x + 36x = 97 + -36x + 36x Combine like terms: -7x + 36x = 29x -19 + 29x = 97 + -36x + 36x Combine like terms: -36x + 36x = 0 -19 + 29x = 97 + 0 -19 + 29x = 97 Add '19' to each side of the equation. -19 + 19 + 29x = 97 + 19 Combine like terms: -19 + 19 = 0 0 + 29x = 97 + 19 29x = 97 + 19 Combine like terms: 97 + 19 = 116 29x = 116 Divide each side by '29'. x = 4 Simplifying x = 4
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