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Simplifying 20 = 4(3x + -1) + -3(2x + -4) Reorder the terms: 20 = 4(-1 + 3x) + -3(2x + -4) 20 = (-1 * 4 + 3x * 4) + -3(2x + -4) 20 = (-4 + 12x) + -3(2x + -4) Reorder the terms: 20 = -4 + 12x + -3(-4 + 2x) 20 = -4 + 12x + (-4 * -3 + 2x * -3) 20 = -4 + 12x + (12 + -6x) Reorder the terms: 20 = -4 + 12 + 12x + -6x Combine like terms: -4 + 12 = 8 20 = 8 + 12x + -6x Combine like terms: 12x + -6x = 6x 20 = 8 + 6x Solving 20 = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + -6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -6x = 8 + 0 20 + -6x = 8 Add '-20' to each side of the equation. 20 + -20 + -6x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 8 + -20 -6x = 8 + -20 Combine like terms: 8 + -20 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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