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Simplifying 5x + -3(5x + 3) = -79 Reorder the terms: 5x + -3(3 + 5x) = -79 5x + (3 * -3 + 5x * -3) = -79 5x + (-9 + -15x) = -79 Reorder the terms: -9 + 5x + -15x = -79 Combine like terms: 5x + -15x = -10x -9 + -10x = -79 Solving -9 + -10x = -79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -10x = -79 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = -79 + 9 -10x = -79 + 9 Combine like terms: -79 + 9 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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