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Simplifying 52 + -1(3x + 13) = 3(x + 6) + x Reorder the terms: 52 + -1(13 + 3x) = 3(x + 6) + x 52 + (13 * -1 + 3x * -1) = 3(x + 6) + x 52 + (-13 + -3x) = 3(x + 6) + x Combine like terms: 52 + -13 = 39 39 + -3x = 3(x + 6) + x Reorder the terms: 39 + -3x = 3(6 + x) + x 39 + -3x = (6 * 3 + x * 3) + x 39 + -3x = (18 + 3x) + x Combine like terms: 3x + x = 4x 39 + -3x = 18 + 4x Solving 39 + -3x = 18 + 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. 39 + -3x + -4x = 18 + 4x + -4x Combine like terms: -3x + -4x = -7x 39 + -7x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 39 + -7x = 18 + 0 39 + -7x = 18 Add '-39' to each side of the equation. 39 + -39 + -7x = 18 + -39 Combine like terms: 39 + -39 = 0 0 + -7x = 18 + -39 -7x = 18 + -39 Combine like terms: 18 + -39 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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