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Simplifying x + -1.5 = 0.5(x + 4) Reorder the terms: -1.5 + x = 0.5(x + 4) Reorder the terms: -1.5 + x = 0.5(4 + x) -1.5 + x = (4 * 0.5 + x * 0.5) -1.5 + x = (2 + 0.5x) Solving -1.5 + x = 2 + 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 + x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x -1.5 + 0.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.5 + 0.5x = 2 + 0.0 -1.5 + 0.5x = 2 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.5x = 2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5x = 2 + 1.5 0.5x = 2 + 1.5 Combine like terms: 2 + 1.5 = 3.5 0.5x = 3.5 Divide each side by '0.5'. x = 7 Simplifying x = 7
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