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Simplifying 35(5 + -6X) = 70(8 + -4X) (5 * 35 + -6X * 35) = 70(8 + -4X) (175 + -210X) = 70(8 + -4X) 175 + -210X = (8 * 70 + -4X * 70) 175 + -210X = (560 + -280X) Solving 175 + -210X = 560 + -280X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '280X' to each side of the equation. 175 + -210X + 280X = 560 + -280X + 280X Combine like terms: -210X + 280X = 70X 175 + 70X = 560 + -280X + 280X Combine like terms: -280X + 280X = 0 175 + 70X = 560 + 0 175 + 70X = 560 Add '-175' to each side of the equation. 175 + -175 + 70X = 560 + -175 Combine like terms: 175 + -175 = 0 0 + 70X = 560 + -175 70X = 560 + -175 Combine like terms: 560 + -175 = 385 70X = 385 Divide each side by '70'. X = 5.5 Simplifying X = 5.5
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