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Simplifying -4(6x + -8) = 12x + 14 Reorder the terms: -4(-8 + 6x) = 12x + 14 (-8 * -4 + 6x * -4) = 12x + 14 (32 + -24x) = 12x + 14 Reorder the terms: 32 + -24x = 14 + 12x Solving 32 + -24x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + -24x + -12x = 14 + 12x + -12x Combine like terms: -24x + -12x = -36x 32 + -36x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -36x = 14 + 0 32 + -36x = 14 Add '-32' to each side of the equation. 32 + -32 + -36x = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -36x = 14 + -32 -36x = 14 + -32 Combine like terms: 14 + -32 = -18 -36x = -18 Divide each side by '-36'. x = 0.5 Simplifying x = 0.5
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