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Simplifying 1.5x + 1.5 = 6 + -8x + 5 Reorder the terms: 1.5 + 1.5x = 6 + -8x + 5 Reorder the terms: 1.5 + 1.5x = 6 + 5 + -8x Combine like terms: 6 + 5 = 11 1.5 + 1.5x = 11 + -8x Solving 1.5 + 1.5x = 11 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 1.5 + 1.5x + 8x = 11 + -8x + 8x Combine like terms: 1.5x + 8x = 9.5x 1.5 + 9.5x = 11 + -8x + 8x Combine like terms: -8x + 8x = 0 1.5 + 9.5x = 11 + 0 1.5 + 9.5x = 11 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 9.5x = 11 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 9.5x = 11 + -1.5 9.5x = 11 + -1.5 Combine like terms: 11 + -1.5 = 9.5 9.5x = 9.5 Divide each side by '9.5'. x = 1 Simplifying x = 1
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