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Simplifying 2x + -1(4 + 7x) = 3(x + 8) 2x + (4 * -1 + 7x * -1) = 3(x + 8) 2x + (-4 + -7x) = 3(x + 8) Reorder the terms: -4 + 2x + -7x = 3(x + 8) Combine like terms: 2x + -7x = -5x -4 + -5x = 3(x + 8) Reorder the terms: -4 + -5x = 3(8 + x) -4 + -5x = (8 * 3 + x * 3) -4 + -5x = (24 + 3x) Solving -4 + -5x = 24 + 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. -4 + -5x + -3x = 24 + 3x + -3x Combine like terms: -5x + -3x = -8x -4 + -8x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -8x = 24 + 0 -4 + -8x = 24 Add '4' to each side of the equation. -4 + 4 + -8x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 24 + 4 -8x = 24 + 4 Combine like terms: 24 + 4 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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