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Simplifying 11(x + -7200) = 10(x + -6000) Reorder the terms: 11(-7200 + x) = 10(x + -6000) (-7200 * 11 + x * 11) = 10(x + -6000) (-79200 + 11x) = 10(x + -6000) Reorder the terms: -79200 + 11x = 10(-6000 + x) -79200 + 11x = (-6000 * 10 + x * 10) -79200 + 11x = (-60000 + 10x) Solving -79200 + 11x = -60000 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -79200 + 11x + -10x = -60000 + 10x + -10x Combine like terms: 11x + -10x = 1x -79200 + 1x = -60000 + 10x + -10x Combine like terms: 10x + -10x = 0 -79200 + 1x = -60000 + 0 -79200 + 1x = -60000 Add '79200' to each side of the equation. -79200 + 79200 + 1x = -60000 + 79200 Combine like terms: -79200 + 79200 = 0 0 + 1x = -60000 + 79200 1x = -60000 + 79200 Combine like terms: -60000 + 79200 = 19200 1x = 19200 Divide each side by '1'. x = 19200 Simplifying x = 19200
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