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Simplifying 10 + x + [0.5(4 + 2x)] + [2(x + 4)] = 0 10 + x + [(4 * 0.5 + 2x * 0.5)] + [2(x + 4)] = 0 10 + x + [(2 + 1x)] + [2(x + 4)] = 0 10 + x + [2 + 1x] + [2(x + 4)] = 0 Remove brackets around [2 + 1x] 10 + x + 2 + 1x + [2(x + 4)] = 0 Reorder the terms: 10 + x + 2 + 1x + [2(4 + x)] = 0 10 + x + 2 + 1x + [(4 * 2 + x * 2)] = 0 10 + x + 2 + 1x + [(8 + 2x)] = 0 10 + x + 2 + 1x + [8 + 2x] = 0 Remove brackets around [8 + 2x] 10 + x + 2 + 1x + 8 + 2x = 0 Reorder the terms: 10 + 2 + 8 + x + 1x + 2x = 0 Combine like terms: 10 + 2 = 12 12 + 8 + x + 1x + 2x = 0 Combine like terms: 12 + 8 = 20 20 + x + 1x + 2x = 0 Combine like terms: x + 1x = 2x 20 + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x 20 + 4x = 0 Solving 20 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 0 + -20 4x = 0 + -20 Combine like terms: 0 + -20 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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