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Simplifying 8(3x + -2) = 12x + 10 Reorder the terms: 8(-2 + 3x) = 12x + 10 (-2 * 8 + 3x * 8) = 12x + 10 (-16 + 24x) = 12x + 10 Reorder the terms: -16 + 24x = 10 + 12x Solving -16 + 24x = 10 + 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. -16 + 24x + -12x = 10 + 12x + -12x Combine like terms: 24x + -12x = 12x -16 + 12x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + 12x = 10 + 0 -16 + 12x = 10 Add '16' to each side of the equation. -16 + 16 + 12x = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 10 + 16 12x = 10 + 16 Combine like terms: 10 + 16 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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