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Simplifying 5(6x + 2) + -7(3x + -5) + -72 = 0 Reorder the terms: 5(2 + 6x) + -7(3x + -5) + -72 = 0 (2 * 5 + 6x * 5) + -7(3x + -5) + -72 = 0 (10 + 30x) + -7(3x + -5) + -72 = 0 Reorder the terms: 10 + 30x + -7(-5 + 3x) + -72 = 0 10 + 30x + (-5 * -7 + 3x * -7) + -72 = 0 10 + 30x + (35 + -21x) + -72 = 0 Reorder the terms: 10 + 35 + -72 + 30x + -21x = 0 Combine like terms: 10 + 35 = 45 45 + -72 + 30x + -21x = 0 Combine like terms: 45 + -72 = -27 -27 + 30x + -21x = 0 Combine like terms: 30x + -21x = 9x -27 + 9x = 0 Solving -27 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 9x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = 0 + 27 9x = 0 + 27 Combine like terms: 0 + 27 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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