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Simplifying -4(6x + -7) = 6x + -32 Reorder the terms: -4(-7 + 6x) = 6x + -32 (-7 * -4 + 6x * -4) = 6x + -32 (28 + -24x) = 6x + -32 Reorder the terms: 28 + -24x = -32 + 6x Solving 28 + -24x = -32 + 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. 28 + -24x + -6x = -32 + 6x + -6x Combine like terms: -24x + -6x = -30x 28 + -30x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -30x = -32 + 0 28 + -30x = -32 Add '-28' to each side of the equation. 28 + -28 + -30x = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -30x = -32 + -28 -30x = -32 + -28 Combine like terms: -32 + -28 = -60 -30x = -60 Divide each side by '-30'. x = 2 Simplifying x = 2
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