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Simplifying 10 + -8(3x + 2) = -12 Reorder the terms: 10 + -8(2 + 3x) = -12 10 + (2 * -8 + 3x * -8) = -12 10 + (-16 + -24x) = -12 Combine like terms: 10 + -16 = -6 -6 + -24x = -12 Solving -6 + -24x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -24x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -24x = -12 + 6 -24x = -12 + 6 Combine like terms: -12 + 6 = -6 -24x = -6 Divide each side by '-24'. x = 0.25 Simplifying x = 0.25
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