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Simplifying 0.5 + 0.5x = -7 + -1x Solving 0.5 + 0.5x = -7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0.5 + 0.5x + x = -7 + -1x + x Combine like terms: 0.5x + x = 1.5x 0.5 + 1.5x = -7 + -1x + x Combine like terms: -1x + x = 0 0.5 + 1.5x = -7 + 0 0.5 + 1.5x = -7 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.5x = -7 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.5x = -7 + -0.5 1.5x = -7 + -0.5 Combine like terms: -7 + -0.5 = -7.5 1.5x = -7.5 Divide each side by '1.5'. x = -5 Simplifying x = -5
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