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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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