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Simplifying 21 + -2(x + 3) = 3x + 5 Reorder the terms: 21 + -2(3 + x) = 3x + 5 21 + (3 * -2 + x * -2) = 3x + 5 21 + (-6 + -2x) = 3x + 5 Combine like terms: 21 + -6 = 15 15 + -2x = 3x + 5 Reorder the terms: 15 + -2x = 5 + 3x Solving 15 + -2x = 5 + 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. 15 + -2x + -3x = 5 + 3x + -3x Combine like terms: -2x + -3x = -5x 15 + -5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -5x = 5 + 0 15 + -5x = 5 Add '-15' to each side of the equation. 15 + -15 + -5x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 5 + -15 -5x = 5 + -15 Combine like terms: 5 + -15 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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