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Simplifying 2(x + -3) + -21 = 5 + -2x Reorder the terms: 2(-3 + x) + -21 = 5 + -2x (-3 * 2 + x * 2) + -21 = 5 + -2x (-6 + 2x) + -21 = 5 + -2x Reorder the terms: -6 + -21 + 2x = 5 + -2x Combine like terms: -6 + -21 = -27 -27 + 2x = 5 + -2x Solving -27 + 2x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -27 + 2x + 2x = 5 + -2x + 2x Combine like terms: 2x + 2x = 4x -27 + 4x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 4x = 5 + 0 -27 + 4x = 5 Add '27' to each side of the equation. -27 + 27 + 4x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 5 + 27 4x = 5 + 27 Combine like terms: 5 + 27 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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