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Simplifying 2x + -12 = -8(3x + -5) Reorder the terms: -12 + 2x = -8(3x + -5) Reorder the terms: -12 + 2x = -8(-5 + 3x) -12 + 2x = (-5 * -8 + 3x * -8) -12 + 2x = (40 + -24x) Solving -12 + 2x = 40 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -12 + 2x + 24x = 40 + -24x + 24x Combine like terms: 2x + 24x = 26x -12 + 26x = 40 + -24x + 24x Combine like terms: -24x + 24x = 0 -12 + 26x = 40 + 0 -12 + 26x = 40 Add '12' to each side of the equation. -12 + 12 + 26x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 26x = 40 + 12 26x = 40 + 12 Combine like terms: 40 + 12 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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