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