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Simplifying 2(2x + 1) + -3(3x + 1) = -36 Reorder the terms: 2(1 + 2x) + -3(3x + 1) = -36 (1 * 2 + 2x * 2) + -3(3x + 1) = -36 (2 + 4x) + -3(3x + 1) = -36 Reorder the terms: 2 + 4x + -3(1 + 3x) = -36 2 + 4x + (1 * -3 + 3x * -3) = -36 2 + 4x + (-3 + -9x) = -36 Reorder the terms: 2 + -3 + 4x + -9x = -36 Combine like terms: 2 + -3 = -1 -1 + 4x + -9x = -36 Combine like terms: 4x + -9x = -5x -1 + -5x = -36 Solving -1 + -5x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = -36 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = -36 + 1 -5x = -36 + 1 Combine like terms: -36 + 1 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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