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Simplifying 9x + -4(x + -2) = 2(x + 7) + -8 Reorder the terms: 9x + -4(-2 + x) = 2(x + 7) + -8 9x + (-2 * -4 + x * -4) = 2(x + 7) + -8 9x + (8 + -4x) = 2(x + 7) + -8 Reorder the terms: 8 + 9x + -4x = 2(x + 7) + -8 Combine like terms: 9x + -4x = 5x 8 + 5x = 2(x + 7) + -8 Reorder the terms: 8 + 5x = 2(7 + x) + -8 8 + 5x = (7 * 2 + x * 2) + -8 8 + 5x = (14 + 2x) + -8 Reorder the terms: 8 + 5x = 14 + -8 + 2x Combine like terms: 14 + -8 = 6 8 + 5x = 6 + 2x Solving 8 + 5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = 6 + 0 8 + 3x = 6 Add '-8' to each side of the equation. 8 + -8 + 3x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 6 + -8 3x = 6 + -8 Combine like terms: 6 + -8 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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