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Simplifying X + 2(2x + 3) + -1 = 0.5(4x + 28) Reorder the terms: X + 2(3 + 2x) + -1 = 0.5(4x + 28) X + (3 * 2 + 2x * 2) + -1 = 0.5(4x + 28) X + (6 + 4x) + -1 = 0.5(4x + 28) Reorder the terms: 6 + -1 + X + 4x = 0.5(4x + 28) Combine like terms: 6 + -1 = 5 5 + X + 4x = 0.5(4x + 28) Reorder the terms: 5 + X + 4x = 0.5(28 + 4x) 5 + X + 4x = (28 * 0.5 + 4x * 0.5) 5 + X + 4x = (14 + 2x) Solving 5 + X + 4x = 14 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + X + -5 + 4x = 14 + -5 + 2x Reorder the terms: 5 + -5 + X + 4x = 14 + -5 + 2x Combine like terms: 5 + -5 = 0 0 + X + 4x = 14 + -5 + 2x X + 4x = 14 + -5 + 2x Combine like terms: 14 + -5 = 9 X + 4x = 9 + 2x Add '-4x' to each side of the equation. X + 4x + -4x = 9 + 2x + -4x Combine like terms: 4x + -4x = 0 X + 0 = 9 + 2x + -4x X = 9 + 2x + -4x Combine like terms: 2x + -4x = -2x X = 9 + -2x Simplifying X = 9 + -2x
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