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Simplifying 5(4x + -3) = 6(2x + 5) + -5 Reorder the terms: 5(-3 + 4x) = 6(2x + 5) + -5 (-3 * 5 + 4x * 5) = 6(2x + 5) + -5 (-15 + 20x) = 6(2x + 5) + -5 Reorder the terms: -15 + 20x = 6(5 + 2x) + -5 -15 + 20x = (5 * 6 + 2x * 6) + -5 -15 + 20x = (30 + 12x) + -5 Reorder the terms: -15 + 20x = 30 + -5 + 12x Combine like terms: 30 + -5 = 25 -15 + 20x = 25 + 12x Solving -15 + 20x = 25 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 20x + -12x = 25 + 12x + -12x Combine like terms: 20x + -12x = 8x -15 + 8x = 25 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 8x = 25 + 0 -15 + 8x = 25 Add '15' to each side of the equation. -15 + 15 + 8x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 25 + 15 8x = 25 + 15 Combine like terms: 25 + 15 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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