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Simplifying 3(3x + 2) + -42 = 2x + -4 + 3x Reorder the terms: 3(2 + 3x) + -42 = 2x + -4 + 3x (2 * 3 + 3x * 3) + -42 = 2x + -4 + 3x (6 + 9x) + -42 = 2x + -4 + 3x Reorder the terms: 6 + -42 + 9x = 2x + -4 + 3x Combine like terms: 6 + -42 = -36 -36 + 9x = 2x + -4 + 3x Reorder the terms: -36 + 9x = -4 + 2x + 3x Combine like terms: 2x + 3x = 5x -36 + 9x = -4 + 5x Solving -36 + 9x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 9x + -5x = -4 + 5x + -5x Combine like terms: 9x + -5x = 4x -36 + 4x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 4x = -4 + 0 -36 + 4x = -4 Add '36' to each side of the equation. -36 + 36 + 4x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = -4 + 36 4x = -4 + 36 Combine like terms: -4 + 36 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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