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Simplifying 8(2x + 1) + -4(x + 5) = 21 Reorder the terms: 8(1 + 2x) + -4(x + 5) = 21 (1 * 8 + 2x * 8) + -4(x + 5) = 21 (8 + 16x) + -4(x + 5) = 21 Reorder the terms: 8 + 16x + -4(5 + x) = 21 8 + 16x + (5 * -4 + x * -4) = 21 8 + 16x + (-20 + -4x) = 21 Reorder the terms: 8 + -20 + 16x + -4x = 21 Combine like terms: 8 + -20 = -12 -12 + 16x + -4x = 21 Combine like terms: 16x + -4x = 12x -12 + 12x = 21 Solving -12 + 12x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 21 + 12 12x = 21 + 12 Combine like terms: 21 + 12 = 33 12x = 33 Divide each side by '12'. x = 2.75 Simplifying x = 2.75
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