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Simplifying 39 + -1(3x + 1) = 3(x + 1) + x Reorder the terms: 39 + -1(1 + 3x) = 3(x + 1) + x 39 + (1 * -1 + 3x * -1) = 3(x + 1) + x 39 + (-1 + -3x) = 3(x + 1) + x Combine like terms: 39 + -1 = 38 38 + -3x = 3(x + 1) + x Reorder the terms: 38 + -3x = 3(1 + x) + x 38 + -3x = (1 * 3 + x * 3) + x 38 + -3x = (3 + 3x) + x Combine like terms: 3x + x = 4x 38 + -3x = 3 + 4x Solving 38 + -3x = 3 + 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. 38 + -3x + -4x = 3 + 4x + -4x Combine like terms: -3x + -4x = -7x 38 + -7x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 38 + -7x = 3 + 0 38 + -7x = 3 Add '-38' to each side of the equation. 38 + -38 + -7x = 3 + -38 Combine like terms: 38 + -38 = 0 0 + -7x = 3 + -38 -7x = 3 + -38 Combine like terms: 3 + -38 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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