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Simplifying 7(3x + -12) = 20x + -13 Reorder the terms: 7(-12 + 3x) = 20x + -13 (-12 * 7 + 3x * 7) = 20x + -13 (-84 + 21x) = 20x + -13 Reorder the terms: -84 + 21x = -13 + 20x Solving -84 + 21x = -13 + 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. -84 + 21x + -20x = -13 + 20x + -20x Combine like terms: 21x + -20x = 1x -84 + 1x = -13 + 20x + -20x Combine like terms: 20x + -20x = 0 -84 + 1x = -13 + 0 -84 + 1x = -13 Add '84' to each side of the equation. -84 + 84 + 1x = -13 + 84 Combine like terms: -84 + 84 = 0 0 + 1x = -13 + 84 1x = -13 + 84 Combine like terms: -13 + 84 = 71 1x = 71 Divide each side by '1'. x = 71 Simplifying x = 71
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