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Simplifying 2(3x + 1) + -4 = 3(-1x + 7) Reorder the terms: 2(1 + 3x) + -4 = 3(-1x + 7) (1 * 2 + 3x * 2) + -4 = 3(-1x + 7) (2 + 6x) + -4 = 3(-1x + 7) Reorder the terms: 2 + -4 + 6x = 3(-1x + 7) Combine like terms: 2 + -4 = -2 -2 + 6x = 3(-1x + 7) Reorder the terms: -2 + 6x = 3(7 + -1x) -2 + 6x = (7 * 3 + -1x * 3) -2 + 6x = (21 + -3x) Solving -2 + 6x = 21 + -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 + 6x + 3x = 21 + -3x + 3x Combine like terms: 6x + 3x = 9x -2 + 9x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 9x = 21 + 0 -2 + 9x = 21 Add '2' to each side of the equation. -2 + 2 + 9x = 21 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = 21 + 2 9x = 21 + 2 Combine like terms: 21 + 2 = 23 9x = 23 Divide each side by '9'. x = 2.555555556 Simplifying x = 2.555555556
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