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Simplifying -2(-4 + -1x) = 6(x + 2) + 3x (-4 * -2 + -1x * -2) = 6(x + 2) + 3x (8 + 2x) = 6(x + 2) + 3x Reorder the terms: 8 + 2x = 6(2 + x) + 3x 8 + 2x = (2 * 6 + x * 6) + 3x 8 + 2x = (12 + 6x) + 3x Combine like terms: 6x + 3x = 9x 8 + 2x = 12 + 9x Solving 8 + 2x = 12 + 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. 8 + 2x + -9x = 12 + 9x + -9x Combine like terms: 2x + -9x = -7x 8 + -7x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -7x = 12 + 0 8 + -7x = 12 Add '-8' to each side of the equation. 8 + -8 + -7x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 12 + -8 -7x = 12 + -8 Combine like terms: 12 + -8 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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