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Simplifying 54 + -1(3x + 13) = 3(x + 9) + x Reorder the terms: 54 + -1(13 + 3x) = 3(x + 9) + x 54 + (13 * -1 + 3x * -1) = 3(x + 9) + x 54 + (-13 + -3x) = 3(x + 9) + x Combine like terms: 54 + -13 = 41 41 + -3x = 3(x + 9) + x Reorder the terms: 41 + -3x = 3(9 + x) + x 41 + -3x = (9 * 3 + x * 3) + x 41 + -3x = (27 + 3x) + x Combine like terms: 3x + x = 4x 41 + -3x = 27 + 4x Solving 41 + -3x = 27 + 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. 41 + -3x + -4x = 27 + 4x + -4x Combine like terms: -3x + -4x = -7x 41 + -7x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 41 + -7x = 27 + 0 41 + -7x = 27 Add '-41' to each side of the equation. 41 + -41 + -7x = 27 + -41 Combine like terms: 41 + -41 = 0 0 + -7x = 27 + -41 -7x = 27 + -41 Combine like terms: 27 + -41 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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