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