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Simplifying [[(x + -1) * 0.5] + -1] * 0.5 = 5 Reorder the terms: [[(-1 + x) * 0.5] + -1] * 0.5 = 5 Reorder the terms for easier multiplication: [[0.5(-1 + x)] + -1] * 0.5 = 5 [[(-1 * 0.5 + x * 0.5)] + -1] * 0.5 = 5 [[(-0.5 + 0.5x)] + -1] * 0.5 = 5 [[-0.5 + 0.5x] + -1] * 0.5 = 5 Remove brackets around [-0.5 + 0.5x] [-0.5 + 0.5x + -1] * 0.5 = 5 Reorder the terms: [-0.5 + -1 + 0.5x] * 0.5 = 5 Combine like terms: -0.5 + -1 = -1.5 [-1.5 + 0.5x] * 0.5 = 5 Reorder the terms for easier multiplication: 0.5[-1.5 + 0.5x] = 5 [-1.5 * 0.5 + 0.5x * 0.5] = 5 [-0.75 + 0.25x] = 5 Solving -0.75 + 0.25x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.25x = 5 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.25x = 5 + 0.75 0.25x = 5 + 0.75 Combine like terms: 5 + 0.75 = 5.75 0.25x = 5.75 Divide each side by '0.25'. x = 23 Simplifying x = 23
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