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Simplifying -7.5x + 1000 = 2x + 300 Reorder the terms: 1000 + -7.5x = 2x + 300 Reorder the terms: 1000 + -7.5x = 300 + 2x Solving 1000 + -7.5x = 300 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1000 + -7.5x + -2x = 300 + 2x + -2x Combine like terms: -7.5x + -2x = -9.5x 1000 + -9.5x = 300 + 2x + -2x Combine like terms: 2x + -2x = 0 1000 + -9.5x = 300 + 0 1000 + -9.5x = 300 Add '-1000' to each side of the equation. 1000 + -1000 + -9.5x = 300 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -9.5x = 300 + -1000 -9.5x = 300 + -1000 Combine like terms: 300 + -1000 = -700 -9.5x = -700 Divide each side by '-9.5'. x = 73.68421053 Simplifying x = 73.68421053
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