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Simplifying 52 = 3x + -5(3x + 4) Reorder the terms: 52 = 3x + -5(4 + 3x) 52 = 3x + (4 * -5 + 3x * -5) 52 = 3x + (-20 + -15x) Reorder the terms: 52 = -20 + 3x + -15x Combine like terms: 3x + -15x = -12x 52 = -20 + -12x Solving 52 = -20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 52 + 12x = -20 + -12x + 12x Combine like terms: -12x + 12x = 0 52 + 12x = -20 + 0 52 + 12x = -20 Add '-52' to each side of the equation. 52 + -52 + 12x = -20 + -52 Combine like terms: 52 + -52 = 0 0 + 12x = -20 + -52 12x = -20 + -52 Combine like terms: -20 + -52 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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