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Simplifying 43 + -5x = 7(5 + -1x) 43 + -5x = (5 * 7 + -1x * 7) 43 + -5x = (35 + -7x) Solving 43 + -5x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 43 + -5x + 7x = 35 + -7x + 7x Combine like terms: -5x + 7x = 2x 43 + 2x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 43 + 2x = 35 + 0 43 + 2x = 35 Add '-43' to each side of the equation. 43 + -43 + 2x = 35 + -43 Combine like terms: 43 + -43 = 0 0 + 2x = 35 + -43 2x = 35 + -43 Combine like terms: 35 + -43 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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