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Simplifying 2x + -3x = 21 + 3(x + 1) Combine like terms: 2x + -3x = -1x -1x = 21 + 3(x + 1) Reorder the terms: -1x = 21 + 3(1 + x) -1x = 21 + (1 * 3 + x * 3) -1x = 21 + (3 + 3x) Combine like terms: 21 + 3 = 24 -1x = 24 + 3x Solving -1x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1x + -3x = 24 + 3x + -3x Combine like terms: -1x + -3x = -4x -4x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -4x = 24 + 0 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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