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Simplifying 5(x + -6) = 4(2x + -6) Reorder the terms: 5(-6 + x) = 4(2x + -6) (-6 * 5 + x * 5) = 4(2x + -6) (-30 + 5x) = 4(2x + -6) Reorder the terms: -30 + 5x = 4(-6 + 2x) -30 + 5x = (-6 * 4 + 2x * 4) -30 + 5x = (-24 + 8x) Solving -30 + 5x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -30 + 5x + -8x = -24 + 8x + -8x Combine like terms: 5x + -8x = -3x -30 + -3x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -3x = -24 + 0 -30 + -3x = -24 Add '30' to each side of the equation. -30 + 30 + -3x = -24 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = -24 + 30 -3x = -24 + 30 Combine like terms: -24 + 30 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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