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Simplifying -4(x + 2) = 5x + -6 Reorder the terms: -4(2 + x) = 5x + -6 (2 * -4 + x * -4) = 5x + -6 (-8 + -4x) = 5x + -6 Reorder the terms: -8 + -4x = -6 + 5x Solving -8 + -4x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + -4x + -5x = -6 + 5x + -5x Combine like terms: -4x + -5x = -9x -8 + -9x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -9x = -6 + 0 -8 + -9x = -6 Add '8' to each side of the equation. -8 + 8 + -9x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -6 + 8 -9x = -6 + 8 Combine like terms: -6 + 8 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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