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Simplifying 4x + 14(56.5 + -4.5x) = 260 4x + (56.5 * 14 + -4.5x * 14) = 260 4x + (791 + -63x) = 260 Reorder the terms: 791 + 4x + -63x = 260 Combine like terms: 4x + -63x = -59x 791 + -59x = 260 Solving 791 + -59x = 260 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-791' to each side of the equation. 791 + -791 + -59x = 260 + -791 Combine like terms: 791 + -791 = 0 0 + -59x = 260 + -791 -59x = 260 + -791 Combine like terms: 260 + -791 = -531 -59x = -531 Divide each side by '-59'. x = 9 Simplifying x = 9
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