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Simplifying -4(x + -8) = -6x + 14 Reorder the terms: -4(-8 + x) = -6x + 14 (-8 * -4 + x * -4) = -6x + 14 (32 + -4x) = -6x + 14 Reorder the terms: 32 + -4x = 14 + -6x Solving 32 + -4x = 14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 32 + -4x + 6x = 14 + -6x + 6x Combine like terms: -4x + 6x = 2x 32 + 2x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + 2x = 14 + 0 32 + 2x = 14 Add '-32' to each side of the equation. 32 + -32 + 2x = 14 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 14 + -32 2x = 14 + -32 Combine like terms: 14 + -32 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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