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Simplifying 3(3x + 2) + -40 = 4x + -4 Reorder the terms: 3(2 + 3x) + -40 = 4x + -4 (2 * 3 + 3x * 3) + -40 = 4x + -4 (6 + 9x) + -40 = 4x + -4 Reorder the terms: 6 + -40 + 9x = 4x + -4 Combine like terms: 6 + -40 = -34 -34 + 9x = 4x + -4 Reorder the terms: -34 + 9x = -4 + 4x Solving -34 + 9x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -34 + 9x + -4x = -4 + 4x + -4x Combine like terms: 9x + -4x = 5x -34 + 5x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -34 + 5x = -4 + 0 -34 + 5x = -4 Add '34' to each side of the equation. -34 + 34 + 5x = -4 + 34 Combine like terms: -34 + 34 = 0 0 + 5x = -4 + 34 5x = -4 + 34 Combine like terms: -4 + 34 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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