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Simplifying 0.5(x + 4) = -0.5x + 7 Reorder the terms: 0.5(4 + x) = -0.5x + 7 (4 * 0.5 + x * 0.5) = -0.5x + 7 (2 + 0.5x) = -0.5x + 7 Reorder the terms: 2 + 0.5x = 7 + -0.5x Solving 2 + 0.5x = 7 + -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. 2 + 0.5x + 0.5x = 7 + -0.5x + 0.5x Combine like terms: 0.5x + 0.5x = 1x 2 + 1x = 7 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 2 + 1x = 7 + 0.0 2 + 1x = 7 Add '-2' to each side of the equation. 2 + -2 + 1x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 7 + -2 1x = 7 + -2 Combine like terms: 7 + -2 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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