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Simplifying -14 + -8x = 2 + -4(8x + -8) Reorder the terms: -14 + -8x = 2 + -4(-8 + 8x) -14 + -8x = 2 + (-8 * -4 + 8x * -4) -14 + -8x = 2 + (32 + -32x) Combine like terms: 2 + 32 = 34 -14 + -8x = 34 + -32x Solving -14 + -8x = 34 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -14 + -8x + 32x = 34 + -32x + 32x Combine like terms: -8x + 32x = 24x -14 + 24x = 34 + -32x + 32x Combine like terms: -32x + 32x = 0 -14 + 24x = 34 + 0 -14 + 24x = 34 Add '14' to each side of the equation. -14 + 14 + 24x = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 24x = 34 + 14 24x = 34 + 14 Combine like terms: 34 + 14 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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