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Simplifying -4(x + 4) + 14 = 3x + -20 Reorder the terms: -4(4 + x) + 14 = 3x + -20 (4 * -4 + x * -4) + 14 = 3x + -20 (-16 + -4x) + 14 = 3x + -20 Reorder the terms: -16 + 14 + -4x = 3x + -20 Combine like terms: -16 + 14 = -2 -2 + -4x = 3x + -20 Reorder the terms: -2 + -4x = -20 + 3x Solving -2 + -4x = -20 + 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. -2 + -4x + -3x = -20 + 3x + -3x Combine like terms: -4x + -3x = -7x -2 + -7x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -7x = -20 + 0 -2 + -7x = -20 Add '2' to each side of the equation. -2 + 2 + -7x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -20 + 2 -7x = -20 + 2 Combine like terms: -20 + 2 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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