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Simplifying 16x + 4(x + -2) = -5(-1x + 4) + 12 Reorder the terms: 16x + 4(-2 + x) = -5(-1x + 4) + 12 16x + (-2 * 4 + x * 4) = -5(-1x + 4) + 12 16x + (-8 + 4x) = -5(-1x + 4) + 12 Reorder the terms: -8 + 16x + 4x = -5(-1x + 4) + 12 Combine like terms: 16x + 4x = 20x -8 + 20x = -5(-1x + 4) + 12 Reorder the terms: -8 + 20x = -5(4 + -1x) + 12 -8 + 20x = (4 * -5 + -1x * -5) + 12 -8 + 20x = (-20 + 5x) + 12 Reorder the terms: -8 + 20x = -20 + 12 + 5x Combine like terms: -20 + 12 = -8 -8 + 20x = -8 + 5x Add '8' to each side of the equation. -8 + 8 + 20x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 0 + 20x = -8 + 8 + 5x 20x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 20x = 0 + 5x 20x = 5x Solving 20x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20x + -5x = 5x + -5x Combine like terms: 20x + -5x = 15x 15x = 5x + -5x Combine like terms: 5x + -5x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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