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Simplifying 2(3x + -1) = 2(x + 9) Reorder the terms: 2(-1 + 3x) = 2(x + 9) (-1 * 2 + 3x * 2) = 2(x + 9) (-2 + 6x) = 2(x + 9) Reorder the terms: -2 + 6x = 2(9 + x) -2 + 6x = (9 * 2 + x * 2) -2 + 6x = (18 + 2x) Solving -2 + 6x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 6x + -2x = 18 + 2x + -2x Combine like terms: 6x + -2x = 4x -2 + 4x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 4x = 18 + 0 -2 + 4x = 18 Add '2' to each side of the equation. -2 + 2 + 4x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 18 + 2 4x = 18 + 2 Combine like terms: 18 + 2 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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