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Simplifying 0.5x + -0.7x + 1 = -7 Reorder the terms: 1 + 0.5x + -0.7x = -7 Combine like terms: 0.5x + -0.7x = -0.2x 1 + -0.2x = -7 Solving 1 + -0.2x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -0.2x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2x = -7 + -1 -0.2x = -7 + -1 Combine like terms: -7 + -1 = -8 -0.2x = -8 Divide each side by '-0.2'. x = 40 Simplifying x = 40
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