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Simplifying 7x + -1(5x + 8) = 3x + -43 Reorder the terms: 7x + -1(8 + 5x) = 3x + -43 7x + (8 * -1 + 5x * -1) = 3x + -43 7x + (-8 + -5x) = 3x + -43 Reorder the terms: -8 + 7x + -5x = 3x + -43 Combine like terms: 7x + -5x = 2x -8 + 2x = 3x + -43 Reorder the terms: -8 + 2x = -43 + 3x Solving -8 + 2x = -43 + 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. -8 + 2x + -3x = -43 + 3x + -3x Combine like terms: 2x + -3x = -1x -8 + -1x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -1x = -43 + 0 -8 + -1x = -43 Add '8' to each side of the equation. -8 + 8 + -1x = -43 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -43 + 8 -1x = -43 + 8 Combine like terms: -43 + 8 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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