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Simplifying 7x + 2(-8x + -2) = -34 + -4x Reorder the terms: 7x + 2(-2 + -8x) = -34 + -4x 7x + (-2 * 2 + -8x * 2) = -34 + -4x 7x + (-4 + -16x) = -34 + -4x Reorder the terms: -4 + 7x + -16x = -34 + -4x Combine like terms: 7x + -16x = -9x -4 + -9x = -34 + -4x Solving -4 + -9x = -34 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + -9x + 4x = -34 + -4x + 4x Combine like terms: -9x + 4x = -5x -4 + -5x = -34 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + -5x = -34 + 0 -4 + -5x = -34 Add '4' to each side of the equation. -4 + 4 + -5x = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -34 + 4 -5x = -34 + 4 Combine like terms: -34 + 4 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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