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Simplifying 1000 = 1.50x + -1780 + 1.10x Reorder the terms: 1000 = -1780 + 1.50x + 1.10x Combine like terms: 1.50x + 1.10x = 2.6x 1000 = -1780 + 2.6x Solving 1000 = -1780 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. 1000 + -2.6x = -1780 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 1000 + -2.6x = -1780 + 0.0 1000 + -2.6x = -1780 Add '-1000' to each side of the equation. 1000 + -1000 + -2.6x = -1780 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -2.6x = -1780 + -1000 -2.6x = -1780 + -1000 Combine like terms: -1780 + -1000 = -2780 -2.6x = -2780 Divide each side by '-2.6'. x = 1069.230769 Simplifying x = 1069.230769
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