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Simplifying 10 + -43 = 2x + 21 Combine like terms: 10 + -43 = -33 -33 = 2x + 21 Reorder the terms: -33 = 21 + 2x Solving -33 = 21 + 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. -33 + -2x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + -2x = 21 + 0 -33 + -2x = 21 Add '33' to each side of the equation. -33 + 33 + -2x = 21 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = 21 + 33 -2x = 21 + 33 Combine like terms: 21 + 33 = 54 -2x = 54 Divide each side by '-2'. x = -27 Simplifying x = -27
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