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Simplifying 2[x + 0.5] + -3.6 = 21.4 Reorder the terms: 2[0.5 + x] + -3.6 = 21.4 [0.5 * 2 + x * 2] + -3.6 = 21.4 [1 + 2x] + -3.6 = 21.4 Reorder the terms: 1 + -3.6 + 2x = 21.4 Combine like terms: 1 + -3.6 = -2.6 -2.6 + 2x = 21.4 Solving -2.6 + 2x = 21.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.6' to each side of the equation. -2.6 + 2.6 + 2x = 21.4 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 2x = 21.4 + 2.6 2x = 21.4 + 2.6 Combine like terms: 21.4 + 2.6 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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