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Simplifying 8 + -6(2x + -3) = 3x + 1 Reorder the terms: 8 + -6(-3 + 2x) = 3x + 1 8 + (-3 * -6 + 2x * -6) = 3x + 1 8 + (18 + -12x) = 3x + 1 Combine like terms: 8 + 18 = 26 26 + -12x = 3x + 1 Reorder the terms: 26 + -12x = 1 + 3x Solving 26 + -12x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 26 + -12x + -3x = 1 + 3x + -3x Combine like terms: -12x + -3x = -15x 26 + -15x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + -15x = 1 + 0 26 + -15x = 1 Add '-26' to each side of the equation. 26 + -26 + -15x = 1 + -26 Combine like terms: 26 + -26 = 0 0 + -15x = 1 + -26 -15x = 1 + -26 Combine like terms: 1 + -26 = -25 -15x = -25 Divide each side by '-15'. x = 1.666666667 Simplifying x = 1.666666667
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