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Simplifying 12(3x + 4) + -5(2x + -5) = 6x + -47 Reorder the terms: 12(4 + 3x) + -5(2x + -5) = 6x + -47 (4 * 12 + 3x * 12) + -5(2x + -5) = 6x + -47 (48 + 36x) + -5(2x + -5) = 6x + -47 Reorder the terms: 48 + 36x + -5(-5 + 2x) = 6x + -47 48 + 36x + (-5 * -5 + 2x * -5) = 6x + -47 48 + 36x + (25 + -10x) = 6x + -47 Reorder the terms: 48 + 25 + 36x + -10x = 6x + -47 Combine like terms: 48 + 25 = 73 73 + 36x + -10x = 6x + -47 Combine like terms: 36x + -10x = 26x 73 + 26x = 6x + -47 Reorder the terms: 73 + 26x = -47 + 6x Solving 73 + 26x = -47 + 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. 73 + 26x + -6x = -47 + 6x + -6x Combine like terms: 26x + -6x = 20x 73 + 20x = -47 + 6x + -6x Combine like terms: 6x + -6x = 0 73 + 20x = -47 + 0 73 + 20x = -47 Add '-73' to each side of the equation. 73 + -73 + 20x = -47 + -73 Combine like terms: 73 + -73 = 0 0 + 20x = -47 + -73 20x = -47 + -73 Combine like terms: -47 + -73 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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