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Simplifying 10x + -2 = 9(x + 4) + 1 Reorder the terms: -2 + 10x = 9(x + 4) + 1 Reorder the terms: -2 + 10x = 9(4 + x) + 1 -2 + 10x = (4 * 9 + x * 9) + 1 -2 + 10x = (36 + 9x) + 1 Reorder the terms: -2 + 10x = 36 + 1 + 9x Combine like terms: 36 + 1 = 37 -2 + 10x = 37 + 9x Solving -2 + 10x = 37 + 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. -2 + 10x + -9x = 37 + 9x + -9x Combine like terms: 10x + -9x = 1x -2 + 1x = 37 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + 1x = 37 + 0 -2 + 1x = 37 Add '2' to each side of the equation. -2 + 2 + 1x = 37 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 37 + 2 1x = 37 + 2 Combine like terms: 37 + 2 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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