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Simplifying 2(4x + -3) = 12x + 10 Reorder the terms: 2(-3 + 4x) = 12x + 10 (-3 * 2 + 4x * 2) = 12x + 10 (-6 + 8x) = 12x + 10 Reorder the terms: -6 + 8x = 10 + 12x Solving -6 + 8x = 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. -6 + 8x + -12x = 10 + 12x + -12x Combine like terms: 8x + -12x = -4x -6 + -4x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -4x = 10 + 0 -6 + -4x = 10 Add '6' to each side of the equation. -6 + 6 + -4x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 10 + 6 -4x = 10 + 6 Combine like terms: 10 + 6 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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