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Simplifying -29 + 14x = 13 + 35(x + -24) Reorder the terms: -29 + 14x = 13 + 35(-24 + x) -29 + 14x = 13 + (-24 * 35 + x * 35) -29 + 14x = 13 + (-840 + 35x) Combine like terms: 13 + -840 = -827 -29 + 14x = -827 + 35x Solving -29 + 14x = -827 + 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. -29 + 14x + -35x = -827 + 35x + -35x Combine like terms: 14x + -35x = -21x -29 + -21x = -827 + 35x + -35x Combine like terms: 35x + -35x = 0 -29 + -21x = -827 + 0 -29 + -21x = -827 Add '29' to each side of the equation. -29 + 29 + -21x = -827 + 29 Combine like terms: -29 + 29 = 0 0 + -21x = -827 + 29 -21x = -827 + 29 Combine like terms: -827 + 29 = -798 -21x = -798 Divide each side by '-21'. x = 38 Simplifying x = 38
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