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Simplifying 1.5x + -4 = 9.5x + -23.5 Reorder the terms: -4 + 1.5x = 9.5x + -23.5 Reorder the terms: -4 + 1.5x = -23.5 + 9.5x Solving -4 + 1.5x = -23.5 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. -4 + 1.5x + -9.5x = -23.5 + 9.5x + -9.5x Combine like terms: 1.5x + -9.5x = -8x -4 + -8x = -23.5 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 -4 + -8x = -23.5 + 0.0 -4 + -8x = -23.5 Add '4' to each side of the equation. -4 + 4 + -8x = -23.5 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -23.5 + 4 -8x = -23.5 + 4 Combine like terms: -23.5 + 4 = -19.5 -8x = -19.5 Divide each side by '-8'. x = 2.4375 Simplifying x = 2.4375
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