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