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Simplifying 9x + -1(4x + 7) = 8x + -49 Reorder the terms: 9x + -1(7 + 4x) = 8x + -49 9x + (7 * -1 + 4x * -1) = 8x + -49 9x + (-7 + -4x) = 8x + -49 Reorder the terms: -7 + 9x + -4x = 8x + -49 Combine like terms: 9x + -4x = 5x -7 + 5x = 8x + -49 Reorder the terms: -7 + 5x = -49 + 8x Solving -7 + 5x = -49 + 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. -7 + 5x + -8x = -49 + 8x + -8x Combine like terms: 5x + -8x = -3x -7 + -3x = -49 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -3x = -49 + 0 -7 + -3x = -49 Add '7' to each side of the equation. -7 + 7 + -3x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -49 + 7 -3x = -49 + 7 Combine like terms: -49 + 7 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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