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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 = 40850x -712000 + 40850x = 3454700 + -26850x + 26850x Combine like terms: -26850x + 26850x = 0 -712000 + 40850x = 3454700 + 0 -712000 + 40850x = 3454700 Add '712000' to each side of the equation. -712000 + 712000 + 40850x = 3454700 + 712000 Combine like terms: -712000 + 712000 = 0 0 + 40850x = 3454700 + 712000 40850x = 3454700 + 712000 Combine like terms: 3454700 + 712000 = 4166700 40850x = 4166700 Divide each side by '40850'. x = 102 Simplifying x = 102
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