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Simplifying 0.5x + 45 = -15 + -3.5x Reorder the terms: 45 + 0.5x = -15 + -3.5x Solving 45 + 0.5x = -15 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. 45 + 0.5x + 3.5x = -15 + -3.5x + 3.5x Combine like terms: 0.5x + 3.5x = 4x 45 + 4x = -15 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 45 + 4x = -15 + 0.0 45 + 4x = -15 Add '-45' to each side of the equation. 45 + -45 + 4x = -15 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = -15 + -45 4x = -15 + -45 Combine like terms: -15 + -45 = -60 4x = -60 Divide each side by '4'. x = -15 Simplifying x = -15
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