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Simplifying 3x + 8 = -4(3x + -6) Reorder the terms: 8 + 3x = -4(3x + -6) Reorder the terms: 8 + 3x = -4(-6 + 3x) 8 + 3x = (-6 * -4 + 3x * -4) 8 + 3x = (24 + -12x) Solving 8 + 3x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + 3x + 12x = 24 + -12x + 12x Combine like terms: 3x + 12x = 15x 8 + 15x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 15x = 24 + 0 8 + 15x = 24 Add '-8' to each side of the equation. 8 + -8 + 15x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = 24 + -8 15x = 24 + -8 Combine like terms: 24 + -8 = 16 15x = 16 Divide each side by '15'. x = 1.066666667 Simplifying x = 1.066666667
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