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Simplifying 8x + 7 + -5(x + 1) = 9x + 7 Reorder the terms: 8x + 7 + -5(1 + x) = 9x + 7 8x + 7 + (1 * -5 + x * -5) = 9x + 7 8x + 7 + (-5 + -5x) = 9x + 7 Reorder the terms: 7 + -5 + 8x + -5x = 9x + 7 Combine like terms: 7 + -5 = 2 2 + 8x + -5x = 9x + 7 Combine like terms: 8x + -5x = 3x 2 + 3x = 9x + 7 Reorder the terms: 2 + 3x = 7 + 9x Solving 2 + 3x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 3x + -9x = 7 + 9x + -9x Combine like terms: 3x + -9x = -6x 2 + -6x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -6x = 7 + 0 2 + -6x = 7 Add '-2' to each side of the equation. 2 + -2 + -6x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 7 + -2 -6x = 7 + -2 Combine like terms: 7 + -2 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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