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Simplifying 8x + 7 + -2(x + 1) = 9x + 7 Reorder the terms: 8x + 7 + -2(1 + x) = 9x + 7 8x + 7 + (1 * -2 + x * -2) = 9x + 7 8x + 7 + (-2 + -2x) = 9x + 7 Reorder the terms: 7 + -2 + 8x + -2x = 9x + 7 Combine like terms: 7 + -2 = 5 5 + 8x + -2x = 9x + 7 Combine like terms: 8x + -2x = 6x 5 + 6x = 9x + 7 Reorder the terms: 5 + 6x = 7 + 9x Solving 5 + 6x = 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. 5 + 6x + -9x = 7 + 9x + -9x Combine like terms: 6x + -9x = -3x 5 + -3x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -3x = 7 + 0 5 + -3x = 7 Add '-5' to each side of the equation. 5 + -5 + -3x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 7 + -5 -3x = 7 + -5 Combine like terms: 7 + -5 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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