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Simplifying 3X + 8 = 9 + -1(7X + -4) Reorder the terms: 8 + 3X = 9 + -1(7X + -4) Reorder the terms: 8 + 3X = 9 + -1(-4 + 7X) 8 + 3X = 9 + (-4 * -1 + 7X * -1) 8 + 3X = 9 + (4 + -7X) Combine like terms: 9 + 4 = 13 8 + 3X = 13 + -7X Solving 8 + 3X = 13 + -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. 8 + 3X + 7X = 13 + -7X + 7X Combine like terms: 3X + 7X = 10X 8 + 10X = 13 + -7X + 7X Combine like terms: -7X + 7X = 0 8 + 10X = 13 + 0 8 + 10X = 13 Add '-8' to each side of the equation. 8 + -8 + 10X = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 10X = 13 + -8 10X = 13 + -8 Combine like terms: 13 + -8 = 5 10X = 5 Divide each side by '10'. X = 0.5 Simplifying X = 0.5
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