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Simplifying 8(2x + -3) = 12x + 16 Reorder the terms: 8(-3 + 2x) = 12x + 16 (-3 * 8 + 2x * 8) = 12x + 16 (-24 + 16x) = 12x + 16 Reorder the terms: -24 + 16x = 16 + 12x Solving -24 + 16x = 16 + 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. -24 + 16x + -12x = 16 + 12x + -12x Combine like terms: 16x + -12x = 4x -24 + 4x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 4x = 16 + 0 -24 + 4x = 16 Add '24' to each side of the equation. -24 + 24 + 4x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 16 + 24 4x = 16 + 24 Combine like terms: 16 + 24 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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