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