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Simplifying 0.2x + 7 = 0.7x + -1 Reorder the terms: 7 + 0.2x = 0.7x + -1 Reorder the terms: 7 + 0.2x = -1 + 0.7x Solving 7 + 0.2x = -1 + 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. 7 + 0.2x + -0.7x = -1 + 0.7x + -0.7x Combine like terms: 0.2x + -0.7x = -0.5x 7 + -0.5x = -1 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 7 + -0.5x = -1 + 0.0 7 + -0.5x = -1 Add '-7' to each side of the equation. 7 + -7 + -0.5x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5x = -1 + -7 -0.5x = -1 + -7 Combine like terms: -1 + -7 = -8 -0.5x = -8 Divide each side by '-0.5'. x = 16 Simplifying x = 16
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