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Simplifying 12(2x + -3) = 2(x + 4) Reorder the terms: 12(-3 + 2x) = 2(x + 4) (-3 * 12 + 2x * 12) = 2(x + 4) (-36 + 24x) = 2(x + 4) Reorder the terms: -36 + 24x = 2(4 + x) -36 + 24x = (4 * 2 + x * 2) -36 + 24x = (8 + 2x) Solving -36 + 24x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + 24x + -2x = 8 + 2x + -2x Combine like terms: 24x + -2x = 22x -36 + 22x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 22x = 8 + 0 -36 + 22x = 8 Add '36' to each side of the equation. -36 + 36 + 22x = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 22x = 8 + 36 22x = 8 + 36 Combine like terms: 8 + 36 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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