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Simplifying 3(2x + -1) + 5 = 2 + -1(x + -14) Reorder the terms: 3(-1 + 2x) + 5 = 2 + -1(x + -14) (-1 * 3 + 2x * 3) + 5 = 2 + -1(x + -14) (-3 + 6x) + 5 = 2 + -1(x + -14) Reorder the terms: -3 + 5 + 6x = 2 + -1(x + -14) Combine like terms: -3 + 5 = 2 2 + 6x = 2 + -1(x + -14) Reorder the terms: 2 + 6x = 2 + -1(-14 + x) 2 + 6x = 2 + (-14 * -1 + x * -1) 2 + 6x = 2 + (14 + -1x) Combine like terms: 2 + 14 = 16 2 + 6x = 16 + -1x Solving 2 + 6x = 16 + -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 = 16 + -1x + x Combine like terms: 6x + x = 7x 2 + 7x = 16 + -1x + x Combine like terms: -1x + x = 0 2 + 7x = 16 + 0 2 + 7x = 16 Add '-2' to each side of the equation. 2 + -2 + 7x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 16 + -2 7x = 16 + -2 Combine like terms: 16 + -2 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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