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Simplifying 5x + -4 + x + -1(4x + 8) = 8 + -3x Reorder the terms: 5x + -4 + x + -1(8 + 4x) = 8 + -3x 5x + -4 + x + (8 * -1 + 4x * -1) = 8 + -3x 5x + -4 + x + (-8 + -4x) = 8 + -3x Reorder the terms: -4 + -8 + 5x + x + -4x = 8 + -3x Combine like terms: -4 + -8 = -12 -12 + 5x + x + -4x = 8 + -3x Combine like terms: 5x + x = 6x -12 + 6x + -4x = 8 + -3x Combine like terms: 6x + -4x = 2x -12 + 2x = 8 + -3x Solving -12 + 2x = 8 + -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. -12 + 2x + 3x = 8 + -3x + 3x Combine like terms: 2x + 3x = 5x -12 + 5x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 5x = 8 + 0 -12 + 5x = 8 Add '12' to each side of the equation. -12 + 12 + 5x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 8 + 12 5x = 8 + 12 Combine like terms: 8 + 12 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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