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Simplifying 3x + -2(x + 4) = x + 5x + -8 Reorder the terms: 3x + -2(4 + x) = x + 5x + -8 3x + (4 * -2 + x * -2) = x + 5x + -8 3x + (-8 + -2x) = x + 5x + -8 Reorder the terms: -8 + 3x + -2x = x + 5x + -8 Combine like terms: 3x + -2x = 1x -8 + 1x = x + 5x + -8 Reorder the terms: -8 + 1x = -8 + x + 5x Combine like terms: x + 5x = 6x -8 + 1x = -8 + 6x Add '8' to each side of the equation. -8 + 8 + 1x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 1x = -8 + 8 + 6x 1x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 1x = 0 + 6x 1x = 6x Solving 1x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1x + -6x = 6x + -6x Combine like terms: 1x + -6x = -5x -5x = 6x + -6x Combine like terms: 6x + -6x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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