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Simplifying 4(x + -6) = 6(6x + 2) Reorder the terms: 4(-6 + x) = 6(6x + 2) (-6 * 4 + x * 4) = 6(6x + 2) (-24 + 4x) = 6(6x + 2) Reorder the terms: -24 + 4x = 6(2 + 6x) -24 + 4x = (2 * 6 + 6x * 6) -24 + 4x = (12 + 36x) Solving -24 + 4x = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -24 + 4x + -36x = 12 + 36x + -36x Combine like terms: 4x + -36x = -32x -24 + -32x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 -24 + -32x = 12 + 0 -24 + -32x = 12 Add '24' to each side of the equation. -24 + 24 + -32x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -32x = 12 + 24 -32x = 12 + 24 Combine like terms: 12 + 24 = 36 -32x = 36 Divide each side by '-32'. x = -1.125 Simplifying x = -1.125
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