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Simplifying 3(2x + -1) + -2 = 2(x + 9) + 1 Reorder the terms: 3(-1 + 2x) + -2 = 2(x + 9) + 1 (-1 * 3 + 2x * 3) + -2 = 2(x + 9) + 1 (-3 + 6x) + -2 = 2(x + 9) + 1 Reorder the terms: -3 + -2 + 6x = 2(x + 9) + 1 Combine like terms: -3 + -2 = -5 -5 + 6x = 2(x + 9) + 1 Reorder the terms: -5 + 6x = 2(9 + x) + 1 -5 + 6x = (9 * 2 + x * 2) + 1 -5 + 6x = (18 + 2x) + 1 Reorder the terms: -5 + 6x = 18 + 1 + 2x Combine like terms: 18 + 1 = 19 -5 + 6x = 19 + 2x Solving -5 + 6x = 19 + 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. -5 + 6x + -2x = 19 + 2x + -2x Combine like terms: 6x + -2x = 4x -5 + 4x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 4x = 19 + 0 -5 + 4x = 19 Add '5' to each side of the equation. -5 + 5 + 4x = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 19 + 5 4x = 19 + 5 Combine like terms: 19 + 5 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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