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Simplifying -0.7x + 4.78 = -0.5x + 7.18 Reorder the terms: 4.78 + -0.7x = -0.5x + 7.18 Reorder the terms: 4.78 + -0.7x = 7.18 + -0.5x Solving 4.78 + -0.7x = 7.18 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 4.78 + -0.7x + 0.5x = 7.18 + -0.5x + 0.5x Combine like terms: -0.7x + 0.5x = -0.2x 4.78 + -0.2x = 7.18 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 4.78 + -0.2x = 7.18 + 0.0 4.78 + -0.2x = 7.18 Add '-4.78' to each side of the equation. 4.78 + -4.78 + -0.2x = 7.18 + -4.78 Combine like terms: 4.78 + -4.78 = 0.00 0.00 + -0.2x = 7.18 + -4.78 -0.2x = 7.18 + -4.78 Combine like terms: 7.18 + -4.78 = 2.4 -0.2x = 2.4 Divide each side by '-0.2'. x = -12 Simplifying x = -12
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