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Simplifying 3(x + 456) + 5(56x + -45) = 0 Reorder the terms: 3(456 + x) + 5(56x + -45) = 0 (456 * 3 + x * 3) + 5(56x + -45) = 0 (1368 + 3x) + 5(56x + -45) = 0 Reorder the terms: 1368 + 3x + 5(-45 + 56x) = 0 1368 + 3x + (-45 * 5 + 56x * 5) = 0 1368 + 3x + (-225 + 280x) = 0 Reorder the terms: 1368 + -225 + 3x + 280x = 0 Combine like terms: 1368 + -225 = 1143 1143 + 3x + 280x = 0 Combine like terms: 3x + 280x = 283x 1143 + 283x = 0 Solving 1143 + 283x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1143' to each side of the equation. 1143 + -1143 + 283x = 0 + -1143 Combine like terms: 1143 + -1143 = 0 0 + 283x = 0 + -1143 283x = 0 + -1143 Combine like terms: 0 + -1143 = -1143 283x = -1143 Divide each side by '283'. x = -4.038869258 Simplifying x = -4.038869258
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