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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 -6 + 43x = (-3 * 13 + 4x * 13) + 57 -6 + 43x = (-39 + 52x) + 57 Reorder the terms: -6 + 43x = -39 + 57 + 52x Combine like terms: -39 + 57 = 18 -6 + 43x = 18 + 52x Solving -6 + 43x = 18 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. -6 + 43x + -52x = 18 + 52x + -52x Combine like terms: 43x + -52x = -9x -6 + -9x = 18 + 52x + -52x Combine like terms: 52x + -52x = 0 -6 + -9x = 18 + 0 -6 + -9x = 18 Add '6' to each side of the equation. -6 + 6 + -9x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 18 + 6 -9x = 18 + 6 Combine like terms: 18 + 6 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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