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Simplifying 7(3x + -5) = 5(x + -4) + 12 Reorder the terms: 7(-5 + 3x) = 5(x + -4) + 12 (-5 * 7 + 3x * 7) = 5(x + -4) + 12 (-35 + 21x) = 5(x + -4) + 12 Reorder the terms: -35 + 21x = 5(-4 + x) + 12 -35 + 21x = (-4 * 5 + x * 5) + 12 -35 + 21x = (-20 + 5x) + 12 Reorder the terms: -35 + 21x = -20 + 12 + 5x Combine like terms: -20 + 12 = -8 -35 + 21x = -8 + 5x Solving -35 + 21x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -35 + 21x + -5x = -8 + 5x + -5x Combine like terms: 21x + -5x = 16x -35 + 16x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 16x = -8 + 0 -35 + 16x = -8 Add '35' to each side of the equation. -35 + 35 + 16x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 16x = -8 + 35 16x = -8 + 35 Combine like terms: -8 + 35 = 27 16x = 27 Divide each side by '16'. x = 1.6875 Simplifying x = 1.6875
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