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Simplifying 52 = 4(-2x + 3) Reorder the terms: 52 = 4(3 + -2x) 52 = (3 * 4 + -2x * 4) 52 = (12 + -8x) Solving 52 = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 52 + 8x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 52 + 8x = 12 + 0 52 + 8x = 12 Add '-52' to each side of the equation. 52 + -52 + 8x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + 8x = 12 + -52 8x = 12 + -52 Combine like terms: 12 + -52 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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