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Simplifying 5(3x + -1) + -3(4x + 5) = 7 Reorder the terms: 5(-1 + 3x) + -3(4x + 5) = 7 (-1 * 5 + 3x * 5) + -3(4x + 5) = 7 (-5 + 15x) + -3(4x + 5) = 7 Reorder the terms: -5 + 15x + -3(5 + 4x) = 7 -5 + 15x + (5 * -3 + 4x * -3) = 7 -5 + 15x + (-15 + -12x) = 7 Reorder the terms: -5 + -15 + 15x + -12x = 7 Combine like terms: -5 + -15 = -20 -20 + 15x + -12x = 7 Combine like terms: 15x + -12x = 3x -20 + 3x = 7 Solving -20 + 3x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 7 + 20 3x = 7 + 20 Combine like terms: 7 + 20 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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