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Simplifying 7x + -1(4x + 3) = 8x + -43 Reorder the terms: 7x + -1(3 + 4x) = 8x + -43 7x + (3 * -1 + 4x * -1) = 8x + -43 7x + (-3 + -4x) = 8x + -43 Reorder the terms: -3 + 7x + -4x = 8x + -43 Combine like terms: 7x + -4x = 3x -3 + 3x = 8x + -43 Reorder the terms: -3 + 3x = -43 + 8x Solving -3 + 3x = -43 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 3x + -8x = -43 + 8x + -8x Combine like terms: 3x + -8x = -5x -3 + -5x = -43 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -5x = -43 + 0 -3 + -5x = -43 Add '3' to each side of the equation. -3 + 3 + -5x = -43 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -43 + 3 -5x = -43 + 3 Combine like terms: -43 + 3 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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