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Simplifying 8x + 6 = 4 + -1(4x + -7) Reorder the terms: 6 + 8x = 4 + -1(4x + -7) Reorder the terms: 6 + 8x = 4 + -1(-7 + 4x) 6 + 8x = 4 + (-7 * -1 + 4x * -1) 6 + 8x = 4 + (7 + -4x) Combine like terms: 4 + 7 = 11 6 + 8x = 11 + -4x Solving 6 + 8x = 11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 8x + 4x = 11 + -4x + 4x Combine like terms: 8x + 4x = 12x 6 + 12x = 11 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 12x = 11 + 0 6 + 12x = 11 Add '-6' to each side of the equation. 6 + -6 + 12x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 11 + -6 12x = 11 + -6 Combine like terms: 11 + -6 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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