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Simplifying 4(4x + -8) + -2 = 4(x + -2) + 46 Reorder the terms: 4(-8 + 4x) + -2 = 4(x + -2) + 46 (-8 * 4 + 4x * 4) + -2 = 4(x + -2) + 46 (-32 + 16x) + -2 = 4(x + -2) + 46 Reorder the terms: -32 + -2 + 16x = 4(x + -2) + 46 Combine like terms: -32 + -2 = -34 -34 + 16x = 4(x + -2) + 46 Reorder the terms: -34 + 16x = 4(-2 + x) + 46 -34 + 16x = (-2 * 4 + x * 4) + 46 -34 + 16x = (-8 + 4x) + 46 Reorder the terms: -34 + 16x = -8 + 46 + 4x Combine like terms: -8 + 46 = 38 -34 + 16x = 38 + 4x Solving -34 + 16x = 38 + 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 + 16x + -4x = 38 + 4x + -4x Combine like terms: 16x + -4x = 12x -34 + 12x = 38 + 4x + -4x Combine like terms: 4x + -4x = 0 -34 + 12x = 38 + 0 -34 + 12x = 38 Add '34' to each side of the equation. -34 + 34 + 12x = 38 + 34 Combine like terms: -34 + 34 = 0 0 + 12x = 38 + 34 12x = 38 + 34 Combine like terms: 38 + 34 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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