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Simplifying 6 + -2(x + 16) = 3x + 14 Reorder the terms: 6 + -2(16 + x) = 3x + 14 6 + (16 * -2 + x * -2) = 3x + 14 6 + (-32 + -2x) = 3x + 14 Combine like terms: 6 + -32 = -26 -26 + -2x = 3x + 14 Reorder the terms: -26 + -2x = 14 + 3x Solving -26 + -2x = 14 + 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. -26 + -2x + -3x = 14 + 3x + -3x Combine like terms: -2x + -3x = -5x -26 + -5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + -5x = 14 + 0 -26 + -5x = 14 Add '26' to each side of the equation. -26 + 26 + -5x = 14 + 26 Combine like terms: -26 + 26 = 0 0 + -5x = 14 + 26 -5x = 14 + 26 Combine like terms: 14 + 26 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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