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Simplifying 7(2 + -1x) + 3 = -1(1 + 5x) (2 * 7 + -1x * 7) + 3 = -1(1 + 5x) (14 + -7x) + 3 = -1(1 + 5x) Reorder the terms: 14 + 3 + -7x = -1(1 + 5x) Combine like terms: 14 + 3 = 17 17 + -7x = -1(1 + 5x) 17 + -7x = (1 * -1 + 5x * -1) 17 + -7x = (-1 + -5x) Solving 17 + -7x = -1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 17 + -7x + 5x = -1 + -5x + 5x Combine like terms: -7x + 5x = -2x 17 + -2x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + -2x = -1 + 0 17 + -2x = -1 Add '-17' to each side of the equation. 17 + -17 + -2x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -1 + -17 -2x = -1 + -17 Combine like terms: -1 + -17 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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