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Simplifying (9x + -15) + -1(4x + 8) = 12 Reorder the terms: (-15 + 9x) + -1(4x + 8) = 12 Remove parenthesis around (-15 + 9x) -15 + 9x + -1(4x + 8) = 12 Reorder the terms: -15 + 9x + -1(8 + 4x) = 12 -15 + 9x + (8 * -1 + 4x * -1) = 12 -15 + 9x + (-8 + -4x) = 12 Reorder the terms: -15 + -8 + 9x + -4x = 12 Combine like terms: -15 + -8 = -23 -23 + 9x + -4x = 12 Combine like terms: 9x + -4x = 5x -23 + 5x = 12 Solving -23 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 5x = 12 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 12 + 23 5x = 12 + 23 Combine like terms: 12 + 23 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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