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Simplifying 4(x + -6) = x(4 + -2) * 46 Reorder the terms: 4(-6 + x) = x(4 + -2) * 46 (-6 * 4 + x * 4) = x(4 + -2) * 46 (-24 + 4x) = x(4 + -2) * 46 Combine like terms: 4 + -2 = 2 -24 + 4x = x(2) * 46 Reorder the terms for easier multiplication: -24 + 4x = 2 * 46x Multiply 2 * 46 -24 + 4x = 92x Solving -24 + 4x = 92x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-92x' to each side of the equation. -24 + 4x + -92x = 92x + -92x Combine like terms: 4x + -92x = -88x -24 + -88x = 92x + -92x Combine like terms: 92x + -92x = 0 -24 + -88x = 0 Add '24' to each side of the equation. -24 + 24 + -88x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -88x = 0 + 24 -88x = 0 + 24 Combine like terms: 0 + 24 = 24 -88x = 24 Divide each side by '-88'. x = -0.2727272727 Simplifying x = -0.2727272727
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