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Simplifying -3x + 4(3x + 2) = 4x + 6 Reorder the terms: -3x + 4(2 + 3x) = 4x + 6 -3x + (2 * 4 + 3x * 4) = 4x + 6 -3x + (8 + 12x) = 4x + 6 Reorder the terms: 8 + -3x + 12x = 4x + 6 Combine like terms: -3x + 12x = 9x 8 + 9x = 4x + 6 Reorder the terms: 8 + 9x = 6 + 4x Solving 8 + 9x = 6 + 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. 8 + 9x + -4x = 6 + 4x + -4x Combine like terms: 9x + -4x = 5x 8 + 5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 5x = 6 + 0 8 + 5x = 6 Add '-8' to each side of the equation. 8 + -8 + 5x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 6 + -8 5x = 6 + -8 Combine like terms: 6 + -8 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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