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Simplifying 3x + 39 = 7(x + 1) Reorder the terms: 39 + 3x = 7(x + 1) Reorder the terms: 39 + 3x = 7(1 + x) 39 + 3x = (1 * 7 + x * 7) 39 + 3x = (7 + 7x) Solving 39 + 3x = 7 + 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. 39 + 3x + -7x = 7 + 7x + -7x Combine like terms: 3x + -7x = -4x 39 + -4x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 39 + -4x = 7 + 0 39 + -4x = 7 Add '-39' to each side of the equation. 39 + -39 + -4x = 7 + -39 Combine like terms: 39 + -39 = 0 0 + -4x = 7 + -39 -4x = 7 + -39 Combine like terms: 7 + -39 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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