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Simplifying 2x + -3(2 + x) = 4x + 6 2x + (2 * -3 + x * -3) = 4x + 6 2x + (-6 + -3x) = 4x + 6 Reorder the terms: -6 + 2x + -3x = 4x + 6 Combine like terms: 2x + -3x = -1x -6 + -1x = 4x + 6 Reorder the terms: -6 + -1x = 6 + 4x Solving -6 + -1x = 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. -6 + -1x + -4x = 6 + 4x + -4x Combine like terms: -1x + -4x = -5x -6 + -5x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -5x = 6 + 0 -6 + -5x = 6 Add '6' to each side of the equation. -6 + 6 + -5x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 6 + 6 -5x = 6 + 6 Combine like terms: 6 + 6 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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