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Simplifying 3(2x + 1) = 5 + -1(x + -12) Reorder the terms: 3(1 + 2x) = 5 + -1(x + -12) (1 * 3 + 2x * 3) = 5 + -1(x + -12) (3 + 6x) = 5 + -1(x + -12) Reorder the terms: 3 + 6x = 5 + -1(-12 + x) 3 + 6x = 5 + (-12 * -1 + x * -1) 3 + 6x = 5 + (12 + -1x) Combine like terms: 5 + 12 = 17 3 + 6x = 17 + -1x Solving 3 + 6x = 17 + -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. 3 + 6x + x = 17 + -1x + x Combine like terms: 6x + x = 7x 3 + 7x = 17 + -1x + x Combine like terms: -1x + x = 0 3 + 7x = 17 + 0 3 + 7x = 17 Add '-3' to each side of the equation. 3 + -3 + 7x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 17 + -3 7x = 17 + -3 Combine like terms: 17 + -3 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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