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Simplifying 1.3(x + 5) + -1.8x = 0 Reorder the terms: 1.3(5 + x) + -1.8x = 0 (5 * 1.3 + x * 1.3) + -1.8x = 0 (6.5 + 1.3x) + -1.8x = 0 Combine like terms: 1.3x + -1.8x = -0.5x 6.5 + -0.5x = 0 Solving 6.5 + -0.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + -0.5x = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -0.5x = 0 + -6.5 -0.5x = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 -0.5x = -6.5 Divide each side by '-0.5'. x = 13 Simplifying x = 13
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