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Simplifying 3(2x + 1) + -5 = 14 + -1(x + 14) Reorder the terms: 3(1 + 2x) + -5 = 14 + -1(x + 14) (1 * 3 + 2x * 3) + -5 = 14 + -1(x + 14) (3 + 6x) + -5 = 14 + -1(x + 14) Reorder the terms: 3 + -5 + 6x = 14 + -1(x + 14) Combine like terms: 3 + -5 = -2 -2 + 6x = 14 + -1(x + 14) Reorder the terms: -2 + 6x = 14 + -1(14 + x) -2 + 6x = 14 + (14 * -1 + x * -1) -2 + 6x = 14 + (-14 + -1x) Combine like terms: 14 + -14 = 0 -2 + 6x = 0 + -1x -2 + 6x = -1x Solving -2 + 6x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 6x + x = -1x + x Combine like terms: 6x + x = 7x -2 + 7x = -1x + x Combine like terms: -1x + x = 0 -2 + 7x = 0 Add '2' to each side of the equation. -2 + 2 + 7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 0 + 2 7x = 0 + 2 Combine like terms: 0 + 2 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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