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Simplifying x + (x + 4) + (x + 4) * 0.5 = 21 Reorder the terms: x + (4 + x) + (x + 4) * 0.5 = 21 Remove parenthesis around (4 + x) x + 4 + x + (x + 4) * 0.5 = 21 Reorder the terms: x + 4 + x + (4 + x) * 0.5 = 21 Reorder the terms for easier multiplication: x + 4 + x + 0.5(4 + x) = 21 x + 4 + x + (4 * 0.5 + x * 0.5) = 21 x + 4 + x + (2 + 0.5x) = 21 Reorder the terms: 4 + 2 + x + x + 0.5x = 21 Combine like terms: 4 + 2 = 6 6 + x + x + 0.5x = 21 Combine like terms: x + x = 2x 6 + 2x + 0.5x = 21 Combine like terms: 2x + 0.5x = 2.5x 6 + 2.5x = 21 Solving 6 + 2.5x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2.5x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 2.5x = 21 + -6 2.5x = 21 + -6 Combine like terms: 21 + -6 = 15 2.5x = 15 Divide each side by '2.5'. x = 6 Simplifying x = 6
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