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Simplifying x + -3 = 0.5(x + 1 + 6) Reorder the terms: -3 + x = 0.5(x + 1 + 6) Reorder the terms: -3 + x = 0.5(1 + 6 + x) Combine like terms: 1 + 6 = 7 -3 + x = 0.5(7 + x) -3 + x = (7 * 0.5 + x * 0.5) -3 + x = (3.5 + 0.5x) Solving -3 + x = 3.5 + 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. -3 + x + -0.5x = 3.5 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x -3 + 0.5x = 3.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + 0.5x = 3.5 + 0.0 -3 + 0.5x = 3.5 Add '3' to each side of the equation. -3 + 3 + 0.5x = 3.5 + 3 Combine like terms: -3 + 3 = 0 0 + 0.5x = 3.5 + 3 0.5x = 3.5 + 3 Combine like terms: 3.5 + 3 = 6.5 0.5x = 6.5 Divide each side by '0.5'. x = 13 Simplifying x = 13
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