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Simplifying 4(2x + -8) + -2 = 4(x + -2) + 2 Reorder the terms: 4(-8 + 2x) + -2 = 4(x + -2) + 2 (-8 * 4 + 2x * 4) + -2 = 4(x + -2) + 2 (-32 + 8x) + -2 = 4(x + -2) + 2 Reorder the terms: -32 + -2 + 8x = 4(x + -2) + 2 Combine like terms: -32 + -2 = -34 -34 + 8x = 4(x + -2) + 2 Reorder the terms: -34 + 8x = 4(-2 + x) + 2 -34 + 8x = (-2 * 4 + x * 4) + 2 -34 + 8x = (-8 + 4x) + 2 Reorder the terms: -34 + 8x = -8 + 2 + 4x Combine like terms: -8 + 2 = -6 -34 + 8x = -6 + 4x Solving -34 + 8x = -6 + 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. -34 + 8x + -4x = -6 + 4x + -4x Combine like terms: 8x + -4x = 4x -34 + 4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -34 + 4x = -6 + 0 -34 + 4x = -6 Add '34' to each side of the equation. -34 + 34 + 4x = -6 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = -6 + 34 4x = -6 + 34 Combine like terms: -6 + 34 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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