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Simplifying 7x + 2(x + -4) = -3x + -8 Reorder the terms: 7x + 2(-4 + x) = -3x + -8 7x + (-4 * 2 + x * 2) = -3x + -8 7x + (-8 + 2x) = -3x + -8 Reorder the terms: -8 + 7x + 2x = -3x + -8 Combine like terms: 7x + 2x = 9x -8 + 9x = -3x + -8 Reorder the terms: -8 + 9x = -8 + -3x Add '8' to each side of the equation. -8 + 8 + 9x = -8 + 8 + -3x Combine like terms: -8 + 8 = 0 0 + 9x = -8 + 8 + -3x 9x = -8 + 8 + -3x Combine like terms: -8 + 8 = 0 9x = 0 + -3x 9x = -3x Solving 9x = -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. 9x + 3x = -3x + 3x Combine like terms: 9x + 3x = 12x 12x = -3x + 3x Combine like terms: -3x + 3x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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