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Simplifying 3x + 4(2x + -9) = 6x + -2 Reorder the terms: 3x + 4(-9 + 2x) = 6x + -2 3x + (-9 * 4 + 2x * 4) = 6x + -2 3x + (-36 + 8x) = 6x + -2 Reorder the terms: -36 + 3x + 8x = 6x + -2 Combine like terms: 3x + 8x = 11x -36 + 11x = 6x + -2 Reorder the terms: -36 + 11x = -2 + 6x Solving -36 + 11x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 11x + -6x = -2 + 6x + -6x Combine like terms: 11x + -6x = 5x -36 + 5x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 5x = -2 + 0 -36 + 5x = -2 Add '36' to each side of the equation. -36 + 36 + 5x = -2 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = -2 + 36 5x = -2 + 36 Combine like terms: -2 + 36 = 34 5x = 34 Divide each side by '5'. x = 6.8 Simplifying x = 6.8
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