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Simplifying 12x + -4(2x + -5) = 3x + 28 Reorder the terms: 12x + -4(-5 + 2x) = 3x + 28 12x + (-5 * -4 + 2x * -4) = 3x + 28 12x + (20 + -8x) = 3x + 28 Reorder the terms: 20 + 12x + -8x = 3x + 28 Combine like terms: 12x + -8x = 4x 20 + 4x = 3x + 28 Reorder the terms: 20 + 4x = 28 + 3x Solving 20 + 4x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 4x + -3x = 28 + 3x + -3x Combine like terms: 4x + -3x = 1x 20 + 1x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 1x = 28 + 0 20 + 1x = 28 Add '-20' to each side of the equation. 20 + -20 + 1x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 28 + -20 1x = 28 + -20 Combine like terms: 28 + -20 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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