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Simplifying 12 + 4(6 + -5x) = 28 + -16x 12 + (6 * 4 + -5x * 4) = 28 + -16x 12 + (24 + -20x) = 28 + -16x Combine like terms: 12 + 24 = 36 36 + -20x = 28 + -16x Solving 36 + -20x = 28 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 36 + -20x + 16x = 28 + -16x + 16x Combine like terms: -20x + 16x = -4x 36 + -4x = 28 + -16x + 16x Combine like terms: -16x + 16x = 0 36 + -4x = 28 + 0 36 + -4x = 28 Add '-36' to each side of the equation. 36 + -36 + -4x = 28 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = 28 + -36 -4x = 28 + -36 Combine like terms: 28 + -36 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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