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Simplifying 12(3x + 4) + -5(2x + 3) = 6x + -77 Reorder the terms: 12(4 + 3x) + -5(2x + 3) = 6x + -77 (4 * 12 + 3x * 12) + -5(2x + 3) = 6x + -77 (48 + 36x) + -5(2x + 3) = 6x + -77 Reorder the terms: 48 + 36x + -5(3 + 2x) = 6x + -77 48 + 36x + (3 * -5 + 2x * -5) = 6x + -77 48 + 36x + (-15 + -10x) = 6x + -77 Reorder the terms: 48 + -15 + 36x + -10x = 6x + -77 Combine like terms: 48 + -15 = 33 33 + 36x + -10x = 6x + -77 Combine like terms: 36x + -10x = 26x 33 + 26x = 6x + -77 Reorder the terms: 33 + 26x = -77 + 6x Solving 33 + 26x = -77 + 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. 33 + 26x + -6x = -77 + 6x + -6x Combine like terms: 26x + -6x = 20x 33 + 20x = -77 + 6x + -6x Combine like terms: 6x + -6x = 0 33 + 20x = -77 + 0 33 + 20x = -77 Add '-33' to each side of the equation. 33 + -33 + 20x = -77 + -33 Combine like terms: 33 + -33 = 0 0 + 20x = -77 + -33 20x = -77 + -33 Combine like terms: -77 + -33 = -110 20x = -110 Divide each side by '20'. x = -5.5 Simplifying x = -5.5
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