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Simplifying 2(2x + -1) = 3(x + 9) Reorder the terms: 2(-1 + 2x) = 3(x + 9) (-1 * 2 + 2x * 2) = 3(x + 9) (-2 + 4x) = 3(x + 9) Reorder the terms: -2 + 4x = 3(9 + x) -2 + 4x = (9 * 3 + x * 3) -2 + 4x = (27 + 3x) Solving -2 + 4x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 4x + -3x = 27 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = 27 + 0 -2 + 1x = 27 Add '2' to each side of the equation. -2 + 2 + 1x = 27 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 27 + 2 1x = 27 + 2 Combine like terms: 27 + 2 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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