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Simplifying 3(x + 7) + -4(2x + 1) = 21 Reorder the terms: 3(7 + x) + -4(2x + 1) = 21 (7 * 3 + x * 3) + -4(2x + 1) = 21 (21 + 3x) + -4(2x + 1) = 21 Reorder the terms: 21 + 3x + -4(1 + 2x) = 21 21 + 3x + (1 * -4 + 2x * -4) = 21 21 + 3x + (-4 + -8x) = 21 Reorder the terms: 21 + -4 + 3x + -8x = 21 Combine like terms: 21 + -4 = 17 17 + 3x + -8x = 21 Combine like terms: 3x + -8x = -5x 17 + -5x = 21 Solving 17 + -5x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 21 + -17 -5x = 21 + -17 Combine like terms: 21 + -17 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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