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Simplifying 12 + (x + 3) + 7(6x + -3) = 13 + (4x + -3) + 57 Reorder the terms: 12 + (3 + x) + 7(6x + -3) = 13 + (4x + -3) + 57 Remove parenthesis around (3 + x) 12 + 3 + x + 7(6x + -3) = 13 + (4x + -3) + 57 Reorder the terms: 12 + 3 + x + 7(-3 + 6x) = 13 + (4x + -3) + 57 12 + 3 + x + (-3 * 7 + 6x * 7) = 13 + (4x + -3) + 57 12 + 3 + x + (-21 + 42x) = 13 + (4x + -3) + 57 Reorder the terms: 12 + 3 + -21 + x + 42x = 13 + (4x + -3) + 57 Combine like terms: 12 + 3 = 15 15 + -21 + x + 42x = 13 + (4x + -3) + 57 Combine like terms: 15 + -21 = -6 -6 + x + 42x = 13 + (4x + -3) + 57 Combine like terms: x + 42x = 43x -6 + 43x = 13 + (4x + -3) + 57 Reorder the terms: -6 + 43x = 13 + (-3 + 4x) + 57 Remove parenthesis around (-3 + 4x) -6 + 43x = 13 + -3 + 4x + 57 Reorder the terms: -6 + 43x = 13 + -3 + 57 + 4x Combine like terms: 13 + -3 = 10 -6 + 43x = 10 + 57 + 4x Combine like terms: 10 + 57 = 67 -6 + 43x = 67 + 4x Solving -6 + 43x = 67 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 43x + -4x = 67 + 4x + -4x Combine like terms: 43x + -4x = 39x -6 + 39x = 67 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 39x = 67 + 0 -6 + 39x = 67 Add '6' to each side of the equation. -6 + 6 + 39x = 67 + 6 Combine like terms: -6 + 6 = 0 0 + 39x = 67 + 6 39x = 67 + 6 Combine like terms: 67 + 6 = 73 39x = 73 Divide each side by '39'. x = 1.871794872 Simplifying x = 1.871794872
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