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Simplifying 1.3x + 4.5 = 0.5x + -1.02 Reorder the terms: 4.5 + 1.3x = 0.5x + -1.02 Reorder the terms: 4.5 + 1.3x = -1.02 + 0.5x Solving 4.5 + 1.3x = -1.02 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 4.5 + 1.3x + -0.5x = -1.02 + 0.5x + -0.5x Combine like terms: 1.3x + -0.5x = 0.8x 4.5 + 0.8x = -1.02 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4.5 + 0.8x = -1.02 + 0.0 4.5 + 0.8x = -1.02 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.8x = -1.02 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.8x = -1.02 + -4.5 0.8x = -1.02 + -4.5 Combine like terms: -1.02 + -4.5 = -5.52 0.8x = -5.52 Divide each side by '0.8'. x = -6.9 Simplifying x = -6.9
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