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Simplifying 21x + -178.5 = 7x + 24.5 Reorder the terms: -178.5 + 21x = 7x + 24.5 Reorder the terms: -178.5 + 21x = 24.5 + 7x Solving -178.5 + 21x = 24.5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -178.5 + 21x + -7x = 24.5 + 7x + -7x Combine like terms: 21x + -7x = 14x -178.5 + 14x = 24.5 + 7x + -7x Combine like terms: 7x + -7x = 0 -178.5 + 14x = 24.5 + 0 -178.5 + 14x = 24.5 Add '178.5' to each side of the equation. -178.5 + 178.5 + 14x = 24.5 + 178.5 Combine like terms: -178.5 + 178.5 = 0.0 0.0 + 14x = 24.5 + 178.5 14x = 24.5 + 178.5 Combine like terms: 24.5 + 178.5 = 203 14x = 203 Divide each side by '14'. x = 14.5 Simplifying x = 14.5
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