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Simplifying 3x + 1 = -1.5x + -7 Reorder the terms: 1 + 3x = -1.5x + -7 Reorder the terms: 1 + 3x = -7 + -1.5x Solving 1 + 3x = -7 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 1 + 3x + 1.5x = -7 + -1.5x + 1.5x Combine like terms: 3x + 1.5x = 4.5x 1 + 4.5x = -7 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 1 + 4.5x = -7 + 0.0 1 + 4.5x = -7 Add '-1' to each side of the equation. 1 + -1 + 4.5x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 4.5x = -7 + -1 4.5x = -7 + -1 Combine like terms: -7 + -1 = -8 4.5x = -8 Divide each side by '4.5'. x = -1.777777778 Simplifying x = -1.777777778
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