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Simplifying 0.8x + -0.2x + 4 = 0.7x Reorder the terms: 4 + 0.8x + -0.2x = 0.7x Combine like terms: 0.8x + -0.2x = 0.6x 4 + 0.6x = 0.7x Solving 4 + 0.6x = 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. 4 + 0.6x + -0.7x = 0.7x + -0.7x Combine like terms: 0.6x + -0.7x = -0.1x 4 + -0.1x = 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 4 + -0.1x = 0.0 Add '-4' to each side of the equation. 4 + -4 + -0.1x = 0.0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.1x = 0.0 + -4 -0.1x = 0.0 + -4 Combine like terms: 0.0 + -4 = -4 -0.1x = -4 Divide each side by '-0.1'. x = 40 Simplifying x = 40
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