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Simplifying 5(x + -6) = 42 + -4x Reorder the terms: 5(-6 + x) = 42 + -4x (-6 * 5 + x * 5) = 42 + -4x (-30 + 5x) = 42 + -4x Solving -30 + 5x = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -30 + 5x + 4x = 42 + -4x + 4x Combine like terms: 5x + 4x = 9x -30 + 9x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 9x = 42 + 0 -30 + 9x = 42 Add '30' to each side of the equation. -30 + 30 + 9x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 42 + 30 9x = 42 + 30 Combine like terms: 42 + 30 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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