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Simplifying 3x + 39 = 3(5x + -3) Reorder the terms: 39 + 3x = 3(5x + -3) Reorder the terms: 39 + 3x = 3(-3 + 5x) 39 + 3x = (-3 * 3 + 5x * 3) 39 + 3x = (-9 + 15x) Solving 39 + 3x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 39 + 3x + -15x = -9 + 15x + -15x Combine like terms: 3x + -15x = -12x 39 + -12x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 39 + -12x = -9 + 0 39 + -12x = -9 Add '-39' to each side of the equation. 39 + -39 + -12x = -9 + -39 Combine like terms: 39 + -39 = 0 0 + -12x = -9 + -39 -12x = -9 + -39 Combine like terms: -9 + -39 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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