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Simplifying 9x + -4(2 + -1x) = 4x + 12 + 3x + 4 9x + (2 * -4 + -1x * -4) = 4x + 12 + 3x + 4 9x + (-8 + 4x) = 4x + 12 + 3x + 4 Reorder the terms: -8 + 9x + 4x = 4x + 12 + 3x + 4 Combine like terms: 9x + 4x = 13x -8 + 13x = 4x + 12 + 3x + 4 Reorder the terms: -8 + 13x = 12 + 4 + 4x + 3x Combine like terms: 12 + 4 = 16 -8 + 13x = 16 + 4x + 3x Combine like terms: 4x + 3x = 7x -8 + 13x = 16 + 7x Solving -8 + 13x = 16 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 13x + -7x = 16 + 7x + -7x Combine like terms: 13x + -7x = 6x -8 + 6x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 6x = 16 + 0 -8 + 6x = 16 Add '8' to each side of the equation. -8 + 8 + 6x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 16 + 8 6x = 16 + 8 Combine like terms: 16 + 8 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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