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Simplifying 5x + -9 = 4(x + 9) + 10 Reorder the terms: -9 + 5x = 4(x + 9) + 10 Reorder the terms: -9 + 5x = 4(9 + x) + 10 -9 + 5x = (9 * 4 + x * 4) + 10 -9 + 5x = (36 + 4x) + 10 Reorder the terms: -9 + 5x = 36 + 10 + 4x Combine like terms: 36 + 10 = 46 -9 + 5x = 46 + 4x Solving -9 + 5x = 46 + 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. -9 + 5x + -4x = 46 + 4x + -4x Combine like terms: 5x + -4x = 1x -9 + 1x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + 1x = 46 + 0 -9 + 1x = 46 Add '9' to each side of the equation. -9 + 9 + 1x = 46 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 46 + 9 1x = 46 + 9 Combine like terms: 46 + 9 = 55 1x = 55 Divide each side by '1'. x = 55 Simplifying x = 55
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