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Simplifying 4x + 6 = 5 + -1(8x + -3) Reorder the terms: 6 + 4x = 5 + -1(8x + -3) Reorder the terms: 6 + 4x = 5 + -1(-3 + 8x) 6 + 4x = 5 + (-3 * -1 + 8x * -1) 6 + 4x = 5 + (3 + -8x) Combine like terms: 5 + 3 = 8 6 + 4x = 8 + -8x Solving 6 + 4x = 8 + -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. 6 + 4x + 8x = 8 + -8x + 8x Combine like terms: 4x + 8x = 12x 6 + 12x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 12x = 8 + 0 6 + 12x = 8 Add '-6' to each side of the equation. 6 + -6 + 12x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 8 + -6 12x = 8 + -6 Combine like terms: 8 + -6 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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