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Simplifying -3x + 8 = 5 + -1(10x + 3) Reorder the terms: 8 + -3x = 5 + -1(10x + 3) Reorder the terms: 8 + -3x = 5 + -1(3 + 10x) 8 + -3x = 5 + (3 * -1 + 10x * -1) 8 + -3x = 5 + (-3 + -10x) Combine like terms: 5 + -3 = 2 8 + -3x = 2 + -10x Solving 8 + -3x = 2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + -3x + 10x = 2 + -10x + 10x Combine like terms: -3x + 10x = 7x 8 + 7x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 7x = 2 + 0 8 + 7x = 2 Add '-8' to each side of the equation. 8 + -8 + 7x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 2 + -8 7x = 2 + -8 Combine like terms: 2 + -8 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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