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Simplifying 4(3x + -5) + -4x = 2x + 4 Reorder the terms: 4(-5 + 3x) + -4x = 2x + 4 (-5 * 4 + 3x * 4) + -4x = 2x + 4 (-20 + 12x) + -4x = 2x + 4 Combine like terms: 12x + -4x = 8x -20 + 8x = 2x + 4 Reorder the terms: -20 + 8x = 4 + 2x Solving -20 + 8x = 4 + 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. -20 + 8x + -2x = 4 + 2x + -2x Combine like terms: 8x + -2x = 6x -20 + 6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 6x = 4 + 0 -20 + 6x = 4 Add '20' to each side of the equation. -20 + 20 + 6x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 4 + 20 6x = 4 + 20 Combine like terms: 4 + 20 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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