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Simplifying 5x + 7(3x + -6) = -13 + -3x Reorder the terms: 5x + 7(-6 + 3x) = -13 + -3x 5x + (-6 * 7 + 3x * 7) = -13 + -3x 5x + (-42 + 21x) = -13 + -3x Reorder the terms: -42 + 5x + 21x = -13 + -3x Combine like terms: 5x + 21x = 26x -42 + 26x = -13 + -3x Solving -42 + 26x = -13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -42 + 26x + 3x = -13 + -3x + 3x Combine like terms: 26x + 3x = 29x -42 + 29x = -13 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + 29x = -13 + 0 -42 + 29x = -13 Add '42' to each side of the equation. -42 + 42 + 29x = -13 + 42 Combine like terms: -42 + 42 = 0 0 + 29x = -13 + 42 29x = -13 + 42 Combine like terms: -13 + 42 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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