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Simplifying 8x + -1(4x + 7) = 7x + -43 Reorder the terms: 8x + -1(7 + 4x) = 7x + -43 8x + (7 * -1 + 4x * -1) = 7x + -43 8x + (-7 + -4x) = 7x + -43 Reorder the terms: -7 + 8x + -4x = 7x + -43 Combine like terms: 8x + -4x = 4x -7 + 4x = 7x + -43 Reorder the terms: -7 + 4x = -43 + 7x Solving -7 + 4x = -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 + 4x + -7x = -43 + 7x + -7x Combine like terms: 4x + -7x = -3x -7 + -3x = -43 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -3x = -43 + 0 -7 + -3x = -43 Add '7' to each side of the equation. -7 + 7 + -3x = -43 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -43 + 7 -3x = -43 + 7 Combine like terms: -43 + 7 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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