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Simplifying 4(6x + -8) + -14 = 6x + 2 + 2x Reorder the terms: 4(-8 + 6x) + -14 = 6x + 2 + 2x (-8 * 4 + 6x * 4) + -14 = 6x + 2 + 2x (-32 + 24x) + -14 = 6x + 2 + 2x Reorder the terms: -32 + -14 + 24x = 6x + 2 + 2x Combine like terms: -32 + -14 = -46 -46 + 24x = 6x + 2 + 2x Reorder the terms: -46 + 24x = 2 + 6x + 2x Combine like terms: 6x + 2x = 8x -46 + 24x = 2 + 8x Solving -46 + 24x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -46 + 24x + -8x = 2 + 8x + -8x Combine like terms: 24x + -8x = 16x -46 + 16x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -46 + 16x = 2 + 0 -46 + 16x = 2 Add '46' to each side of the equation. -46 + 46 + 16x = 2 + 46 Combine like terms: -46 + 46 = 0 0 + 16x = 2 + 46 16x = 2 + 46 Combine like terms: 2 + 46 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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