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Simplifying 2(3x + -2) + 1 = 3(2 + -1x) + -2 Reorder the terms: 2(-2 + 3x) + 1 = 3(2 + -1x) + -2 (-2 * 2 + 3x * 2) + 1 = 3(2 + -1x) + -2 (-4 + 6x) + 1 = 3(2 + -1x) + -2 Reorder the terms: -4 + 1 + 6x = 3(2 + -1x) + -2 Combine like terms: -4 + 1 = -3 -3 + 6x = 3(2 + -1x) + -2 -3 + 6x = (2 * 3 + -1x * 3) + -2 -3 + 6x = (6 + -3x) + -2 Reorder the terms: -3 + 6x = 6 + -2 + -3x Combine like terms: 6 + -2 = 4 -3 + 6x = 4 + -3x Solving -3 + 6x = 4 + -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. -3 + 6x + 3x = 4 + -3x + 3x Combine like terms: 6x + 3x = 9x -3 + 9x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 9x = 4 + 0 -3 + 9x = 4 Add '3' to each side of the equation. -3 + 3 + 9x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 4 + 3 9x = 4 + 3 Combine like terms: 4 + 3 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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