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Simplifying -4(x + -6) = -7x + 12 Reorder the terms: -4(-6 + x) = -7x + 12 (-6 * -4 + x * -4) = -7x + 12 (24 + -4x) = -7x + 12 Reorder the terms: 24 + -4x = 12 + -7x Solving 24 + -4x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + -4x + 7x = 12 + -7x + 7x Combine like terms: -4x + 7x = 3x 24 + 3x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + 3x = 12 + 0 24 + 3x = 12 Add '-24' to each side of the equation. 24 + -24 + 3x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 12 + -24 3x = 12 + -24 Combine like terms: 12 + -24 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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