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Simplifying 12(x + 3) + 7(6x + -3) = x + 13(4x + -3) + 57 Reorder the terms: 12(3 + x) + 7(6x + -3) = x + 13(4x + -3) + 57 (3 * 12 + x * 12) + 7(6x + -3) = x + 13(4x + -3) + 57 (36 + 12x) + 7(6x + -3) = x + 13(4x + -3) + 57 Reorder the terms: 36 + 12x + 7(-3 + 6x) = x + 13(4x + -3) + 57 36 + 12x + (-3 * 7 + 6x * 7) = x + 13(4x + -3) + 57 36 + 12x + (-21 + 42x) = x + 13(4x + -3) + 57 Reorder the terms: 36 + -21 + 12x + 42x = x + 13(4x + -3) + 57 Combine like terms: 36 + -21 = 15 15 + 12x + 42x = x + 13(4x + -3) + 57 Combine like terms: 12x + 42x = 54x 15 + 54x = x + 13(4x + -3) + 57 Reorder the terms: 15 + 54x = x + 13(-3 + 4x) + 57 15 + 54x = x + (-3 * 13 + 4x * 13) + 57 15 + 54x = x + (-39 + 52x) + 57 Reorder the terms: 15 + 54x = -39 + 57 + x + 52x Combine like terms: -39 + 57 = 18 15 + 54x = 18 + x + 52x Combine like terms: x + 52x = 53x 15 + 54x = 18 + 53x Solving 15 + 54x = 18 + 53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53x' to each side of the equation. 15 + 54x + -53x = 18 + 53x + -53x Combine like terms: 54x + -53x = 1x 15 + 1x = 18 + 53x + -53x Combine like terms: 53x + -53x = 0 15 + 1x = 18 + 0 15 + 1x = 18 Add '-15' to each side of the equation. 15 + -15 + 1x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 18 + -15 1x = 18 + -15 Combine like terms: 18 + -15 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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