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Simplifying 7(2 + -1x) + 3 = 5(3 + -1x) (2 * 7 + -1x * 7) + 3 = 5(3 + -1x) (14 + -7x) + 3 = 5(3 + -1x) Reorder the terms: 14 + 3 + -7x = 5(3 + -1x) Combine like terms: 14 + 3 = 17 17 + -7x = 5(3 + -1x) 17 + -7x = (3 * 5 + -1x * 5) 17 + -7x = (15 + -5x) Solving 17 + -7x = 15 + -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 = 15 + -5x + 5x Combine like terms: -7x + 5x = -2x 17 + -2x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + -2x = 15 + 0 17 + -2x = 15 Add '-17' to each side of the equation. 17 + -17 + -2x = 15 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 15 + -17 -2x = 15 + -17 Combine like terms: 15 + -17 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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