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Simplifying 8x + -1(4x + 9) = 5x + -49 Reorder the terms: 8x + -1(9 + 4x) = 5x + -49 8x + (9 * -1 + 4x * -1) = 5x + -49 8x + (-9 + -4x) = 5x + -49 Reorder the terms: -9 + 8x + -4x = 5x + -49 Combine like terms: 8x + -4x = 4x -9 + 4x = 5x + -49 Reorder the terms: -9 + 4x = -49 + 5x Solving -9 + 4x = -49 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 4x + -5x = -49 + 5x + -5x Combine like terms: 4x + -5x = -1x -9 + -1x = -49 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -1x = -49 + 0 -9 + -1x = -49 Add '9' to each side of the equation. -9 + 9 + -1x = -49 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -49 + 9 -1x = -49 + 9 Combine like terms: -49 + 9 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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