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Simplifying 5x + -2(3 + x) = 20x + 21 5x + (3 * -2 + x * -2) = 20x + 21 5x + (-6 + -2x) = 20x + 21 Reorder the terms: -6 + 5x + -2x = 20x + 21 Combine like terms: 5x + -2x = 3x -6 + 3x = 20x + 21 Reorder the terms: -6 + 3x = 21 + 20x Solving -6 + 3x = 21 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 3x + -20x = 21 + 20x + -20x Combine like terms: 3x + -20x = -17x -6 + -17x = 21 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -17x = 21 + 0 -6 + -17x = 21 Add '6' to each side of the equation. -6 + 6 + -17x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -17x = 21 + 6 -17x = 21 + 6 Combine like terms: 21 + 6 = 27 -17x = 27 Divide each side by '-17'. x = -1.588235294 Simplifying x = -1.588235294
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