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Simplifying 2(x + 4) + -2x = 6x + -9x Reorder the terms: 2(4 + x) + -2x = 6x + -9x (4 * 2 + x * 2) + -2x = 6x + -9x (8 + 2x) + -2x = 6x + -9x Combine like terms: 2x + -2x = 0 8 + 0 = 6x + -9x 8 = 6x + -9x Combine like terms: 6x + -9x = -3x 8 = -3x Solving 8 = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 8 + 3x = 0 Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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