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