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Simplifying 2(5x + -1) = 3(3x + 11) Reorder the terms: 2(-1 + 5x) = 3(3x + 11) (-1 * 2 + 5x * 2) = 3(3x + 11) (-2 + 10x) = 3(3x + 11) Reorder the terms: -2 + 10x = 3(11 + 3x) -2 + 10x = (11 * 3 + 3x * 3) -2 + 10x = (33 + 9x) Solving -2 + 10x = 33 + 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 = 33 + 9x + -9x Combine like terms: 10x + -9x = 1x -2 + 1x = 33 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + 1x = 33 + 0 -2 + 1x = 33 Add '2' to each side of the equation. -2 + 2 + 1x = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 33 + 2 1x = 33 + 2 Combine like terms: 33 + 2 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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