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Simplifying 4x + 2 = 2 + -1(8x + -7) Reorder the terms: 2 + 4x = 2 + -1(8x + -7) Reorder the terms: 2 + 4x = 2 + -1(-7 + 8x) 2 + 4x = 2 + (-7 * -1 + 8x * -1) 2 + 4x = 2 + (7 + -8x) Combine like terms: 2 + 7 = 9 2 + 4x = 9 + -8x Solving 2 + 4x = 9 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + 4x + 8x = 9 + -8x + 8x Combine like terms: 4x + 8x = 12x 2 + 12x = 9 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 12x = 9 + 0 2 + 12x = 9 Add '-2' to each side of the equation. 2 + -2 + 12x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 9 + -2 12x = 9 + -2 Combine like terms: 9 + -2 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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