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Simplifying 3(4x + -8) + -20 = 10(x + -3) + 4 Reorder the terms: 3(-8 + 4x) + -20 = 10(x + -3) + 4 (-8 * 3 + 4x * 3) + -20 = 10(x + -3) + 4 (-24 + 12x) + -20 = 10(x + -3) + 4 Reorder the terms: -24 + -20 + 12x = 10(x + -3) + 4 Combine like terms: -24 + -20 = -44 -44 + 12x = 10(x + -3) + 4 Reorder the terms: -44 + 12x = 10(-3 + x) + 4 -44 + 12x = (-3 * 10 + x * 10) + 4 -44 + 12x = (-30 + 10x) + 4 Reorder the terms: -44 + 12x = -30 + 4 + 10x Combine like terms: -30 + 4 = -26 -44 + 12x = -26 + 10x Solving -44 + 12x = -26 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -44 + 12x + -10x = -26 + 10x + -10x Combine like terms: 12x + -10x = 2x -44 + 2x = -26 + 10x + -10x Combine like terms: 10x + -10x = 0 -44 + 2x = -26 + 0 -44 + 2x = -26 Add '44' to each side of the equation. -44 + 44 + 2x = -26 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = -26 + 44 2x = -26 + 44 Combine like terms: -26 + 44 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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