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Simplifying 6x + 3(5x + -4) = 20x + 3 Reorder the terms: 6x + 3(-4 + 5x) = 20x + 3 6x + (-4 * 3 + 5x * 3) = 20x + 3 6x + (-12 + 15x) = 20x + 3 Reorder the terms: -12 + 6x + 15x = 20x + 3 Combine like terms: 6x + 15x = 21x -12 + 21x = 20x + 3 Reorder the terms: -12 + 21x = 3 + 20x Solving -12 + 21x = 3 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -12 + 21x + -20x = 3 + 20x + -20x Combine like terms: 21x + -20x = 1x -12 + 1x = 3 + 20x + -20x Combine like terms: 20x + -20x = 0 -12 + 1x = 3 + 0 -12 + 1x = 3 Add '12' to each side of the equation. -12 + 12 + 1x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 3 + 12 1x = 3 + 12 Combine like terms: 3 + 12 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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