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Simplifying 37(28x + -35) = 43(9x + -15) Reorder the terms: 37(-35 + 28x) = 43(9x + -15) (-35 * 37 + 28x * 37) = 43(9x + -15) (-1295 + 1036x) = 43(9x + -15) Reorder the terms: -1295 + 1036x = 43(-15 + 9x) -1295 + 1036x = (-15 * 43 + 9x * 43) -1295 + 1036x = (-645 + 387x) Solving -1295 + 1036x = -645 + 387x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-387x' to each side of the equation. -1295 + 1036x + -387x = -645 + 387x + -387x Combine like terms: 1036x + -387x = 649x -1295 + 649x = -645 + 387x + -387x Combine like terms: 387x + -387x = 0 -1295 + 649x = -645 + 0 -1295 + 649x = -645 Add '1295' to each side of the equation. -1295 + 1295 + 649x = -645 + 1295 Combine like terms: -1295 + 1295 = 0 0 + 649x = -645 + 1295 649x = -645 + 1295 Combine like terms: -645 + 1295 = 650 649x = 650 Divide each side by '649'. x = 1.001540832 Simplifying x = 1.001540832
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