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Simplifying 52 = 0.5x(6 + 7) Combine like terms: 6 + 7 = 13 52 = 0.5x(13) Reorder the terms for easier multiplication: 52 = 0.5 * 13x Multiply 0.5 * 13 52 = 6.5x Solving 52 = 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 52 + -6.5x = 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 52 + -6.5x = 0.0 Add '-52' to each side of the equation. 52 + -52 + -6.5x = 0.0 + -52 Combine like terms: 52 + -52 = 0 0 + -6.5x = 0.0 + -52 -6.5x = 0.0 + -52 Combine like terms: 0.0 + -52 = -52 -6.5x = -52 Divide each side by '-6.5'. x = 8 Simplifying x = 8
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