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Simplifying 1000 = 1.50x + -1(1780 + 1.10x) 1000 = 1.50x + (1780 * -1 + 1.10x * -1) 1000 = 1.50x + (-1780 + -1.1x) Reorder the terms: 1000 = -1780 + 1.50x + -1.1x Combine like terms: 1.50x + -1.1x = 0.4x 1000 = -1780 + 0.4x Solving 1000 = -1780 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 1000 + -0.4x = -1780 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1000 + -0.4x = -1780 + 0.0 1000 + -0.4x = -1780 Add '-1000' to each side of the equation. 1000 + -1000 + -0.4x = -1780 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -0.4x = -1780 + -1000 -0.4x = -1780 + -1000 Combine like terms: -1780 + -1000 = -2780 -0.4x = -2780 Divide each side by '-0.4'. x = 6950 Simplifying x = 6950
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