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Simplifying 8x + -1(5x + 4) = 4x + -47 Reorder the terms: 8x + -1(4 + 5x) = 4x + -47 8x + (4 * -1 + 5x * -1) = 4x + -47 8x + (-4 + -5x) = 4x + -47 Reorder the terms: -4 + 8x + -5x = 4x + -47 Combine like terms: 8x + -5x = 3x -4 + 3x = 4x + -47 Reorder the terms: -4 + 3x = -47 + 4x Solving -4 + 3x = -47 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 3x + -4x = -47 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -47 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = -47 + 0 -4 + -1x = -47 Add '4' to each side of the equation. -4 + 4 + -1x = -47 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -47 + 4 -1x = -47 + 4 Combine like terms: -47 + 4 = -43 -1x = -43 Divide each side by '-1'. x = 43 Simplifying x = 43
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