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Simplifying 0.2x + -0.5 = 1x + 7 Reorder the terms: -0.5 + 0.2x = 1x + 7 Reorder the terms: -0.5 + 0.2x = 7 + 1x Solving -0.5 + 0.2x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.5 + 0.2x + -1x = 7 + 1x + -1x Combine like terms: 0.2x + -1x = -0.8x -0.5 + -0.8x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.5 + -0.8x = 7 + 0 -0.5 + -0.8x = 7 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.8x = 7 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.8x = 7 + 0.5 -0.8x = 7 + 0.5 Combine like terms: 7 + 0.5 = 7.5 -0.8x = 7.5 Divide each side by '-0.8'. x = -9.375 Simplifying x = -9.375
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