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Simplifying 57 + -1(3x + 4) = 3(x + 6) + 6 Reorder the terms: 57 + -1(4 + 3x) = 3(x + 6) + 6 57 + (4 * -1 + 3x * -1) = 3(x + 6) + 6 57 + (-4 + -3x) = 3(x + 6) + 6 Combine like terms: 57 + -4 = 53 53 + -3x = 3(x + 6) + 6 Reorder the terms: 53 + -3x = 3(6 + x) + 6 53 + -3x = (6 * 3 + x * 3) + 6 53 + -3x = (18 + 3x) + 6 Reorder the terms: 53 + -3x = 18 + 6 + 3x Combine like terms: 18 + 6 = 24 53 + -3x = 24 + 3x Solving 53 + -3x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 53 + -3x + -3x = 24 + 3x + -3x Combine like terms: -3x + -3x = -6x 53 + -6x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 53 + -6x = 24 + 0 53 + -6x = 24 Add '-53' to each side of the equation. 53 + -53 + -6x = 24 + -53 Combine like terms: 53 + -53 = 0 0 + -6x = 24 + -53 -6x = 24 + -53 Combine like terms: 24 + -53 = -29 -6x = -29 Divide each side by '-6'. x = 4.833333333 Simplifying x = 4.833333333
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