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Simplifying -12.19 + -0.5x = 5.3(x + 3.5) Reorder the terms: -12.19 + -0.5x = 5.3(3.5 + x) -12.19 + -0.5x = (3.5 * 5.3 + x * 5.3) -12.19 + -0.5x = (18.55 + 5.3x) Solving -12.19 + -0.5x = 18.55 + 5.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.3x' to each side of the equation. -12.19 + -0.5x + -5.3x = 18.55 + 5.3x + -5.3x Combine like terms: -0.5x + -5.3x = -5.8x -12.19 + -5.8x = 18.55 + 5.3x + -5.3x Combine like terms: 5.3x + -5.3x = 0.0 -12.19 + -5.8x = 18.55 + 0.0 -12.19 + -5.8x = 18.55 Add '12.19' to each side of the equation. -12.19 + 12.19 + -5.8x = 18.55 + 12.19 Combine like terms: -12.19 + 12.19 = 0.00 0.00 + -5.8x = 18.55 + 12.19 -5.8x = 18.55 + 12.19 Combine like terms: 18.55 + 12.19 = 30.74 -5.8x = 30.74 Divide each side by '-5.8'. x = -5.3 Simplifying x = -5.3
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