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Simplifying -300(6) + -300(12) + -300(18) + -300(24) + -200(30) + x(36) + -100(36) = 0 Multiply -300 * 6 -1800 + -300(12) + -300(18) + -300(24) + -200(30) + x(36) + -100(36) = 0 Multiply -300 * 12 -1800 + -3600 + -300(18) + -300(24) + -200(30) + x(36) + -100(36) = 0 Multiply -300 * 18 -1800 + -3600 + -5400 + -300(24) + -200(30) + x(36) + -100(36) = 0 Multiply -300 * 24 -1800 + -3600 + -5400 + -7200 + -200(30) + x(36) + -100(36) = 0 Multiply -200 * 30 -1800 + -3600 + -5400 + -7200 + -6000 + x(36) + -100(36) = 0 Reorder the terms for easier multiplication: -1800 + -3600 + -5400 + -7200 + -6000 + 36x + -100(36) = 0 Multiply -100 * 36 -1800 + -3600 + -5400 + -7200 + -6000 + 36x + -3600 = 0 Reorder the terms: -1800 + -3600 + -5400 + -7200 + -6000 + -3600 + 36x = 0 Combine like terms: -1800 + -3600 = -5400 -5400 + -5400 + -7200 + -6000 + -3600 + 36x = 0 Combine like terms: -5400 + -5400 = -10800 -10800 + -7200 + -6000 + -3600 + 36x = 0 Combine like terms: -10800 + -7200 = -18000 -18000 + -6000 + -3600 + 36x = 0 Combine like terms: -18000 + -6000 = -24000 -24000 + -3600 + 36x = 0 Combine like terms: -24000 + -3600 = -27600 -27600 + 36x = 0 Solving -27600 + 36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27600' to each side of the equation. -27600 + 27600 + 36x = 0 + 27600 Combine like terms: -27600 + 27600 = 0 0 + 36x = 0 + 27600 36x = 0 + 27600 Combine like terms: 0 + 27600 = 27600 36x = 27600 Divide each side by '36'. x = 766.6666667 Simplifying x = 766.6666667
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