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Simplifying 5.12 + -0.34x = 5x + -1.021 Reorder the terms: 5.12 + -0.34x = -1.021 + 5x Solving 5.12 + -0.34x = -1.021 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5.12 + -0.34x + -5x = -1.021 + 5x + -5x Combine like terms: -0.34x + -5x = -5.34x 5.12 + -5.34x = -1.021 + 5x + -5x Combine like terms: 5x + -5x = 0 5.12 + -5.34x = -1.021 + 0 5.12 + -5.34x = -1.021 Add '-5.12' to each side of the equation. 5.12 + -5.12 + -5.34x = -1.021 + -5.12 Combine like terms: 5.12 + -5.12 = 0.00 0.00 + -5.34x = -1.021 + -5.12 -5.34x = -1.021 + -5.12 Combine like terms: -1.021 + -5.12 = -6.141 -5.34x = -6.141 Divide each side by '-5.34'. x = 1.15 Simplifying x = 1.15
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