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Simplifying 4x * 5 + -45 * 12x + 35 + 36x + -89 * 100 = 153 Reorder the terms for easier multiplication: 4 * 5x + -45 * 12x + 35 + 36x + -89 * 100 = 153 Multiply 4 * 5 20x + -45 * 12x + 35 + 36x + -89 * 100 = 153 Multiply -45 * 12 20x + -540x + 35 + 36x + -89 * 100 = 153 Multiply -89 * 100 20x + -540x + 35 + 36x + -8900 = 153 Reorder the terms: 35 + -8900 + 20x + -540x + 36x = 153 Combine like terms: 35 + -8900 = -8865 -8865 + 20x + -540x + 36x = 153 Combine like terms: 20x + -540x = -520x -8865 + -520x + 36x = 153 Combine like terms: -520x + 36x = -484x -8865 + -484x = 153 Solving -8865 + -484x = 153 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8865' to each side of the equation. -8865 + 8865 + -484x = 153 + 8865 Combine like terms: -8865 + 8865 = 0 0 + -484x = 153 + 8865 -484x = 153 + 8865 Combine like terms: 153 + 8865 = 9018 -484x = 9018 Divide each side by '-484'. x = -18.6322314 Simplifying x = -18.6322314
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