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Simplifying 8x + -1(3x + 7) = 7x + -43 Reorder the terms: 8x + -1(7 + 3x) = 7x + -43 8x + (7 * -1 + 3x * -1) = 7x + -43 8x + (-7 + -3x) = 7x + -43 Reorder the terms: -7 + 8x + -3x = 7x + -43 Combine like terms: 8x + -3x = 5x -7 + 5x = 7x + -43 Reorder the terms: -7 + 5x = -43 + 7x Solving -7 + 5x = -43 + 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. -7 + 5x + -7x = -43 + 7x + -7x Combine like terms: 5x + -7x = -2x -7 + -2x = -43 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -2x = -43 + 0 -7 + -2x = -43 Add '7' to each side of the equation. -7 + 7 + -2x = -43 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -43 + 7 -2x = -43 + 7 Combine like terms: -43 + 7 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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