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Simplifying 1.5 + 1x = 0.5(6 + x) 1.5 + 1x = (6 * 0.5 + x * 0.5) 1.5 + 1x = (3 + 0.5x) Solving 1.5 + 1x = 3 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.5 + 1x + -0.5x = 3 + 0.5x + -0.5x Combine like terms: 1x + -0.5x = 0.5x 1.5 + 0.5x = 3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.5 + 0.5x = 3 + 0.0 1.5 + 0.5x = 3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5x = 3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x = 3 + -1.5 0.5x = 3 + -1.5 Combine like terms: 3 + -1.5 = 1.5 0.5x = 1.5 Divide each side by '0.5'. x = 3 Simplifying x = 3
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