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Simplifying 3(((x + -2) + 4x) + -1(x + -3)) = 4 + -1(x + -12) Reorder the terms: 3(((-2 + x) + 4x) + -1(x + -3)) = 4 + -1(x + -12) Remove parenthesis around (-2 + x) 3((-2 + x + 4x) + -1(x + -3)) = 4 + -1(x + -12) Combine like terms: x + 4x = 5x 3((-2 + 5x) + -1(x + -3)) = 4 + -1(x + -12) Remove parenthesis around (-2 + 5x) 3(-2 + 5x + -1(x + -3)) = 4 + -1(x + -12) Reorder the terms: 3(-2 + 5x + -1(-3 + x)) = 4 + -1(x + -12) 3(-2 + 5x + (-3 * -1 + x * -1)) = 4 + -1(x + -12) 3(-2 + 5x + (3 + -1x)) = 4 + -1(x + -12) Reorder the terms: 3(-2 + 3 + 5x + -1x) = 4 + -1(x + -12) Combine like terms: -2 + 3 = 1 3(1 + 5x + -1x) = 4 + -1(x + -12) Combine like terms: 5x + -1x = 4x 3(1 + 4x) = 4 + -1(x + -12) (1 * 3 + 4x * 3) = 4 + -1(x + -12) (3 + 12x) = 4 + -1(x + -12) Reorder the terms: 3 + 12x = 4 + -1(-12 + x) 3 + 12x = 4 + (-12 * -1 + x * -1) 3 + 12x = 4 + (12 + -1x) Combine like terms: 4 + 12 = 16 3 + 12x = 16 + -1x Solving 3 + 12x = 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. 3 + 12x + x = 16 + -1x + x Combine like terms: 12x + x = 13x 3 + 13x = 16 + -1x + x Combine like terms: -1x + x = 0 3 + 13x = 16 + 0 3 + 13x = 16 Add '-3' to each side of the equation. 3 + -3 + 13x = 16 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 16 + -3 13x = 16 + -3 Combine like terms: 16 + -3 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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