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