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Simplifying 4(x + -6) + 2 = -5(x + 6) Reorder the terms: 4(-6 + x) + 2 = -5(x + 6) (-6 * 4 + x * 4) + 2 = -5(x + 6) (-24 + 4x) + 2 = -5(x + 6) Reorder the terms: -24 + 2 + 4x = -5(x + 6) Combine like terms: -24 + 2 = -22 -22 + 4x = -5(x + 6) Reorder the terms: -22 + 4x = -5(6 + x) -22 + 4x = (6 * -5 + x * -5) -22 + 4x = (-30 + -5x) Solving -22 + 4x = -30 + -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. -22 + 4x + 5x = -30 + -5x + 5x Combine like terms: 4x + 5x = 9x -22 + 9x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 -22 + 9x = -30 + 0 -22 + 9x = -30 Add '22' to each side of the equation. -22 + 22 + 9x = -30 + 22 Combine like terms: -22 + 22 = 0 0 + 9x = -30 + 22 9x = -30 + 22 Combine like terms: -30 + 22 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889
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