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Simplifying 57 + -1(6x + 13) = 6(x + 3) + x Reorder the terms: 57 + -1(13 + 6x) = 6(x + 3) + x 57 + (13 * -1 + 6x * -1) = 6(x + 3) + x 57 + (-13 + -6x) = 6(x + 3) + x Combine like terms: 57 + -13 = 44 44 + -6x = 6(x + 3) + x Reorder the terms: 44 + -6x = 6(3 + x) + x 44 + -6x = (3 * 6 + x * 6) + x 44 + -6x = (18 + 6x) + x Combine like terms: 6x + x = 7x 44 + -6x = 18 + 7x Solving 44 + -6x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 44 + -6x + -7x = 18 + 7x + -7x Combine like terms: -6x + -7x = -13x 44 + -13x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 44 + -13x = 18 + 0 44 + -13x = 18 Add '-44' to each side of the equation. 44 + -44 + -13x = 18 + -44 Combine like terms: 44 + -44 = 0 0 + -13x = 18 + -44 -13x = 18 + -44 Combine like terms: 18 + -44 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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