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Simplifying 8x + -7.5 = 6x + 1.5 Reorder the terms: -7.5 + 8x = 6x + 1.5 Reorder the terms: -7.5 + 8x = 1.5 + 6x Solving -7.5 + 8x = 1.5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7.5 + 8x + -6x = 1.5 + 6x + -6x Combine like terms: 8x + -6x = 2x -7.5 + 2x = 1.5 + 6x + -6x Combine like terms: 6x + -6x = 0 -7.5 + 2x = 1.5 + 0 -7.5 + 2x = 1.5 Add '7.5' to each side of the equation. -7.5 + 7.5 + 2x = 1.5 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 2x = 1.5 + 7.5 2x = 1.5 + 7.5 Combine like terms: 1.5 + 7.5 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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