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Simplifying 2x + -7(3 + -2x) = 4(x + 8) 2x + (3 * -7 + -2x * -7) = 4(x + 8) 2x + (-21 + 14x) = 4(x + 8) Reorder the terms: -21 + 2x + 14x = 4(x + 8) Combine like terms: 2x + 14x = 16x -21 + 16x = 4(x + 8) Reorder the terms: -21 + 16x = 4(8 + x) -21 + 16x = (8 * 4 + x * 4) -21 + 16x = (32 + 4x) Solving -21 + 16x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 16x + -4x = 32 + 4x + -4x Combine like terms: 16x + -4x = 12x -21 + 12x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 12x = 32 + 0 -21 + 12x = 32 Add '21' to each side of the equation. -21 + 21 + 12x = 32 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 32 + 21 12x = 32 + 21 Combine like terms: 32 + 21 = 53 12x = 53 Divide each side by '12'. x = 4.416666667 Simplifying x = 4.416666667
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