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Simplifying 0.5x + 0.5 = 0.9x + -0.7 Reorder the terms: 0.5 + 0.5x = 0.9x + -0.7 Reorder the terms: 0.5 + 0.5x = -0.7 + 0.9x Solving 0.5 + 0.5x = -0.7 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 0.5 + 0.5x + -0.9x = -0.7 + 0.9x + -0.9x Combine like terms: 0.5x + -0.9x = -0.4x 0.5 + -0.4x = -0.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 0.5 + -0.4x = -0.7 + 0.0 0.5 + -0.4x = -0.7 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.4x = -0.7 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.4x = -0.7 + -0.5 -0.4x = -0.7 + -0.5 Combine like terms: -0.7 + -0.5 = -1.2 -0.4x = -1.2 Divide each side by '-0.4'. x = 3 Simplifying x = 3
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