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Simplifying 4x + -3(3x + 2) = x + 6 Reorder the terms: 4x + -3(2 + 3x) = x + 6 4x + (2 * -3 + 3x * -3) = x + 6 4x + (-6 + -9x) = x + 6 Reorder the terms: -6 + 4x + -9x = x + 6 Combine like terms: 4x + -9x = -5x -6 + -5x = x + 6 Reorder the terms: -6 + -5x = 6 + x Solving -6 + -5x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -5x + -1x = 6 + x + -1x Combine like terms: -5x + -1x = -6x -6 + -6x = 6 + x + -1x Combine like terms: x + -1x = 0 -6 + -6x = 6 + 0 -6 + -6x = 6 Add '6' to each side of the equation. -6 + 6 + -6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 6 + 6 -6x = 6 + 6 Combine like terms: 6 + 6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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