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Simplifying 5x + -1(4x + 4) = 2x + -4(1 + -3x) Reorder the terms: 5x + -1(4 + 4x) = 2x + -4(1 + -3x) 5x + (4 * -1 + 4x * -1) = 2x + -4(1 + -3x) 5x + (-4 + -4x) = 2x + -4(1 + -3x) Reorder the terms: -4 + 5x + -4x = 2x + -4(1 + -3x) Combine like terms: 5x + -4x = 1x -4 + 1x = 2x + -4(1 + -3x) -4 + 1x = 2x + (1 * -4 + -3x * -4) -4 + 1x = 2x + (-4 + 12x) Reorder the terms: -4 + 1x = -4 + 2x + 12x Combine like terms: 2x + 12x = 14x -4 + 1x = -4 + 14x Add '4' to each side of the equation. -4 + 4 + 1x = -4 + 4 + 14x Combine like terms: -4 + 4 = 0 0 + 1x = -4 + 4 + 14x 1x = -4 + 4 + 14x Combine like terms: -4 + 4 = 0 1x = 0 + 14x 1x = 14x Solving 1x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 1x + -14x = 14x + -14x Combine like terms: 1x + -14x = -13x -13x = 14x + -14x Combine like terms: 14x + -14x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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