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Simplifying -0.50x + -4.5 = 2x + 13 Reorder the terms: -4.5 + -0.50x = 2x + 13 Reorder the terms: -4.5 + -0.50x = 13 + 2x Solving -4.5 + -0.50x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4.5 + -0.50x + -2x = 13 + 2x + -2x Combine like terms: -0.50x + -2x = -2.5x -4.5 + -2.5x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -4.5 + -2.5x = 13 + 0 -4.5 + -2.5x = 13 Add '4.5' to each side of the equation. -4.5 + 4.5 + -2.5x = 13 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -2.5x = 13 + 4.5 -2.5x = 13 + 4.5 Combine like terms: 13 + 4.5 = 17.5 -2.5x = 17.5 Divide each side by '-2.5'. x = -7 Simplifying x = -7
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