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Simplifying -5(4x + -6) + 3(4x + 5) = 5 Reorder the terms: -5(-6 + 4x) + 3(4x + 5) = 5 (-6 * -5 + 4x * -5) + 3(4x + 5) = 5 (30 + -20x) + 3(4x + 5) = 5 Reorder the terms: 30 + -20x + 3(5 + 4x) = 5 30 + -20x + (5 * 3 + 4x * 3) = 5 30 + -20x + (15 + 12x) = 5 Reorder the terms: 30 + 15 + -20x + 12x = 5 Combine like terms: 30 + 15 = 45 45 + -20x + 12x = 5 Combine like terms: -20x + 12x = -8x 45 + -8x = 5 Solving 45 + -8x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -8x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -8x = 5 + -45 -8x = 5 + -45 Combine like terms: 5 + -45 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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