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Simplifying 12x + 20 = 5(4x + 3) + -4(3x + -5) Reorder the terms: 20 + 12x = 5(4x + 3) + -4(3x + -5) Reorder the terms: 20 + 12x = 5(3 + 4x) + -4(3x + -5) 20 + 12x = (3 * 5 + 4x * 5) + -4(3x + -5) 20 + 12x = (15 + 20x) + -4(3x + -5) Reorder the terms: 20 + 12x = 15 + 20x + -4(-5 + 3x) 20 + 12x = 15 + 20x + (-5 * -4 + 3x * -4) 20 + 12x = 15 + 20x + (20 + -12x) Reorder the terms: 20 + 12x = 15 + 20 + 20x + -12x Combine like terms: 15 + 20 = 35 20 + 12x = 35 + 20x + -12x Combine like terms: 20x + -12x = 8x 20 + 12x = 35 + 8x Solving 20 + 12x = 35 + 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. 20 + 12x + -8x = 35 + 8x + -8x Combine like terms: 12x + -8x = 4x 20 + 4x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 4x = 35 + 0 20 + 4x = 35 Add '-20' to each side of the equation. 20 + -20 + 4x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 35 + -20 4x = 35 + -20 Combine like terms: 35 + -20 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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