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Simplifying 2(5x + -1) = 3(3x + 7) Reorder the terms: 2(-1 + 5x) = 3(3x + 7) (-1 * 2 + 5x * 2) = 3(3x + 7) (-2 + 10x) = 3(3x + 7) Reorder the terms: -2 + 10x = 3(7 + 3x) -2 + 10x = (7 * 3 + 3x * 3) -2 + 10x = (21 + 9x) Solving -2 + 10x = 21 + 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 = 21 + 9x + -9x Combine like terms: 10x + -9x = 1x -2 + 1x = 21 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + 1x = 21 + 0 -2 + 1x = 21 Add '2' to each side of the equation. -2 + 2 + 1x = 21 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 21 + 2 1x = 21 + 2 Combine like terms: 21 + 2 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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