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Simplifying -2(x + -4) = 6(x + -2) + 3x Reorder the terms: -2(-4 + x) = 6(x + -2) + 3x (-4 * -2 + x * -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 = -11x 8 + -11x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -11x = -12 + 0 8 + -11x = -12 Add '-8' to each side of the equation. 8 + -8 + -11x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -12 + -8 -11x = -12 + -8 Combine like terms: -12 + -8 = -20 -11x = -20 Divide each side by '-11'. x = 1.818181818 Simplifying x = 1.818181818
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