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Simplifying 2 = 1.5(x + 1) + 3.5 Reorder the terms: 2 = 1.5(1 + x) + 3.5 2 = (1 * 1.5 + x * 1.5) + 3.5 2 = (1.5 + 1.5x) + 3.5 Reorder the terms: 2 = 1.5 + 3.5 + 1.5x Combine like terms: 1.5 + 3.5 = 5 2 = 5 + 1.5x Solving 2 = 5 + 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. 2 + -1.5x = 5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 2 + -1.5x = 5 + 0.0 2 + -1.5x = 5 Add '-2' to each side of the equation. 2 + -2 + -1.5x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -1.5x = 5 + -2 -1.5x = 5 + -2 Combine like terms: 5 + -2 = 3 -1.5x = 3 Divide each side by '-1.5'. x = -2 Simplifying x = -2
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