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Simplifying 0.5x + 6.47 = -0.7x + 2.47 Reorder the terms: 6.47 + 0.5x = -0.7x + 2.47 Reorder the terms: 6.47 + 0.5x = 2.47 + -0.7x Solving 6.47 + 0.5x = 2.47 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 6.47 + 0.5x + 0.7x = 2.47 + -0.7x + 0.7x Combine like terms: 0.5x + 0.7x = 1.2x 6.47 + 1.2x = 2.47 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 6.47 + 1.2x = 2.47 + 0.0 6.47 + 1.2x = 2.47 Add '-6.47' to each side of the equation. 6.47 + -6.47 + 1.2x = 2.47 + -6.47 Combine like terms: 6.47 + -6.47 = 0.00 0.00 + 1.2x = 2.47 + -6.47 1.2x = 2.47 + -6.47 Combine like terms: 2.47 + -6.47 = -4 1.2x = -4 Divide each side by '1.2'. x = -3.333333333 Simplifying x = -3.333333333
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