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Simplifying 10x + -1 = 3(3x + 2) + -5 Reorder the terms: -1 + 10x = 3(3x + 2) + -5 Reorder the terms: -1 + 10x = 3(2 + 3x) + -5 -1 + 10x = (2 * 3 + 3x * 3) + -5 -1 + 10x = (6 + 9x) + -5 Reorder the terms: -1 + 10x = 6 + -5 + 9x Combine like terms: 6 + -5 = 1 -1 + 10x = 1 + 9x Solving -1 + 10x = 1 + 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. -1 + 10x + -9x = 1 + 9x + -9x Combine like terms: 10x + -9x = 1x -1 + 1x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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