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Simplifying 5x + 1 = 7(2 + -3x) Reorder the terms: 1 + 5x = 7(2 + -3x) 1 + 5x = (2 * 7 + -3x * 7) 1 + 5x = (14 + -21x) Solving 1 + 5x = 14 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 1 + 5x + 21x = 14 + -21x + 21x Combine like terms: 5x + 21x = 26x 1 + 26x = 14 + -21x + 21x Combine like terms: -21x + 21x = 0 1 + 26x = 14 + 0 1 + 26x = 14 Add '-1' to each side of the equation. 1 + -1 + 26x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 26x = 14 + -1 26x = 14 + -1 Combine like terms: 14 + -1 = 13 26x = 13 Divide each side by '26'. x = 0.5 Simplifying x = 0.5
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