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Simplifying 5(x + -6) = 4x + 89 Reorder the terms: 5(-6 + x) = 4x + 89 (-6 * 5 + x * 5) = 4x + 89 (-30 + 5x) = 4x + 89 Reorder the terms: -30 + 5x = 89 + 4x Solving -30 + 5x = 89 + 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 = 89 + 4x + -4x Combine like terms: 5x + -4x = 1x -30 + 1x = 89 + 4x + -4x Combine like terms: 4x + -4x = 0 -30 + 1x = 89 + 0 -30 + 1x = 89 Add '30' to each side of the equation. -30 + 30 + 1x = 89 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 89 + 30 1x = 89 + 30 Combine like terms: 89 + 30 = 119 1x = 119 Divide each side by '1'. x = 119 Simplifying x = 119
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