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Simplifying 1.5x + 1 = -1.5x + 7 Reorder the terms: 1 + 1.5x = -1.5x + 7 Reorder the terms: 1 + 1.5x = 7 + -1.5x Solving 1 + 1.5x = 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 + 1.5x + 1.5x = 7 + -1.5x + 1.5x Combine like terms: 1.5x + 1.5x = 3x 1 + 3x = 7 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 1 + 3x = 7 + 0.0 1 + 3x = 7 Add '-1' to each side of the equation. 1 + -1 + 3x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 7 + -1 3x = 7 + -1 Combine like terms: 7 + -1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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