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Simplifying 19(x + 38) + -26x = -36(x + -12) Reorder the terms: 19(38 + x) + -26x = -36(x + -12) (38 * 19 + x * 19) + -26x = -36(x + -12) (722 + 19x) + -26x = -36(x + -12) Combine like terms: 19x + -26x = -7x 722 + -7x = -36(x + -12) Reorder the terms: 722 + -7x = -36(-12 + x) 722 + -7x = (-12 * -36 + x * -36) 722 + -7x = (432 + -36x) Solving 722 + -7x = 432 + -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. 722 + -7x + 36x = 432 + -36x + 36x Combine like terms: -7x + 36x = 29x 722 + 29x = 432 + -36x + 36x Combine like terms: -36x + 36x = 0 722 + 29x = 432 + 0 722 + 29x = 432 Add '-722' to each side of the equation. 722 + -722 + 29x = 432 + -722 Combine like terms: 722 + -722 = 0 0 + 29x = 432 + -722 29x = 432 + -722 Combine like terms: 432 + -722 = -290 29x = -290 Divide each side by '29'. x = -10 Simplifying x = -10
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