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Simplifying 200(70x + -3560) = 179(150x + -19300) Reorder the terms: 200(-3560 + 70x) = 179(150x + -19300) (-3560 * 200 + 70x * 200) = 179(150x + -19300) (-712000 + 14000x) = 179(150x + -19300) Reorder the terms: -712000 + 14000x = 179(-19300 + 150x) -712000 + 14000x = (-19300 * 179 + 150x * 179) -712000 + 14000x = (-3454700 + 26850x) Solving -712000 + 14000x = -3454700 + 26850x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26850x' to each side of the equation. -712000 + 14000x + -26850x = -3454700 + 26850x + -26850x Combine like terms: 14000x + -26850x = -12850x -712000 + -12850x = -3454700 + 26850x + -26850x Combine like terms: 26850x + -26850x = 0 -712000 + -12850x = -3454700 + 0 -712000 + -12850x = -3454700 Add '712000' to each side of the equation. -712000 + 712000 + -12850x = -3454700 + 712000 Combine like terms: -712000 + 712000 = 0 0 + -12850x = -3454700 + 712000 -12850x = -3454700 + 712000 Combine like terms: -3454700 + 712000 = -2742700 -12850x = -2742700 Divide each side by '-12850'. x = 213.4396887 Simplifying x = 213.4396887
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