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Simplifying 0.5(x + 90) + 1.3x = 26 Reorder the terms: 0.5(90 + x) + 1.3x = 26 (90 * 0.5 + x * 0.5) + 1.3x = 26 (45 + 0.5x) + 1.3x = 26 Combine like terms: 0.5x + 1.3x = 1.8x 45 + 1.8x = 26 Solving 45 + 1.8x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1.8x = 26 + -45 Combine like terms: 45 + -45 = 0 0 + 1.8x = 26 + -45 1.8x = 26 + -45 Combine like terms: 26 + -45 = -19 1.8x = -19 Divide each side by '1.8'. x = -10.55555556 Simplifying x = -10.55555556
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