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Simplifying -1(4.184)(100)(x + -90) = (4.184)(500)(x + -10) Reorder the terms: -1 * 4.184 * 100(-90 + x) = (4.184)(500)(x + -10) Multiply -1 * 4.184 -4.184 * 100(-90 + x) = (4.184)(500)(x + -10) Multiply -4.184 * 100 -418.4(-90 + x) = (4.184)(500)(x + -10) (-90 * -418.4 + x * -418.4) = (4.184)(500)(x + -10) (37656 + -418.4x) = (4.184)(500)(x + -10) Reorder the terms: 37656 + -418.4x = 4.184 * 500(-10 + x) Multiply 4.184 * 500 37656 + -418.4x = 2092(-10 + x) 37656 + -418.4x = (-10 * 2092 + x * 2092) 37656 + -418.4x = (-20920 + 2092x) Solving 37656 + -418.4x = -20920 + 2092x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2092x' to each side of the equation. 37656 + -418.4x + -2092x = -20920 + 2092x + -2092x Combine like terms: -418.4x + -2092x = -2510.4x 37656 + -2510.4x = -20920 + 2092x + -2092x Combine like terms: 2092x + -2092x = 0 37656 + -2510.4x = -20920 + 0 37656 + -2510.4x = -20920 Add '-37656' to each side of the equation. 37656 + -37656 + -2510.4x = -20920 + -37656 Combine like terms: 37656 + -37656 = 0 0 + -2510.4x = -20920 + -37656 -2510.4x = -20920 + -37656 Combine like terms: -20920 + -37656 = -58576 -2510.4x = -58576 Divide each side by '-2510.4'. x = 23.33333333 Simplifying x = 23.33333333
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