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Simplifying 587 + 56.80x = 458 + 78.30x Solving 587 + 56.80x = 458 + 78.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78.30x' to each side of the equation. 587 + 56.80x + -78.30x = 458 + 78.30x + -78.30x Combine like terms: 56.80x + -78.30x = -21.5x 587 + -21.5x = 458 + 78.30x + -78.30x Combine like terms: 78.30x + -78.30x = 0.00 587 + -21.5x = 458 + 0.00 587 + -21.5x = 458 Add '-587' to each side of the equation. 587 + -587 + -21.5x = 458 + -587 Combine like terms: 587 + -587 = 0 0 + -21.5x = 458 + -587 -21.5x = 458 + -587 Combine like terms: 458 + -587 = -129 -21.5x = -129 Divide each side by '-21.5'. x = 6 Simplifying x = 6
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