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Simplifying 0.34x + 7.54 = 6.24 + -0.24x Reorder the terms: 7.54 + 0.34x = 6.24 + -0.24x Solving 7.54 + 0.34x = 6.24 + -0.24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.24x' to each side of the equation. 7.54 + 0.34x + 0.24x = 6.24 + -0.24x + 0.24x Combine like terms: 0.34x + 0.24x = 0.58x 7.54 + 0.58x = 6.24 + -0.24x + 0.24x Combine like terms: -0.24x + 0.24x = 0.00 7.54 + 0.58x = 6.24 + 0.00 7.54 + 0.58x = 6.24 Add '-7.54' to each side of the equation. 7.54 + -7.54 + 0.58x = 6.24 + -7.54 Combine like terms: 7.54 + -7.54 = 0.00 0.00 + 0.58x = 6.24 + -7.54 0.58x = 6.24 + -7.54 Combine like terms: 6.24 + -7.54 = -1.3 0.58x = -1.3 Divide each side by '0.58'. x = -2.24137931 Simplifying x = -2.24137931
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