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Simplifying 5(x + -6) = 9x + 6 Reorder the terms: 5(-6 + x) = 9x + 6 (-6 * 5 + x * 5) = 9x + 6 (-30 + 5x) = 9x + 6 Reorder the terms: -30 + 5x = 6 + 9x Solving -30 + 5x = 6 + 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. -30 + 5x + -9x = 6 + 9x + -9x Combine like terms: 5x + -9x = -4x -30 + -4x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -4x = 6 + 0 -30 + -4x = 6 Add '30' to each side of the equation. -30 + 30 + -4x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = 6 + 30 -4x = 6 + 30 Combine like terms: 6 + 30 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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