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Simplifying 4x + 6(x + -6) = 4(x + -6) Reorder the terms: 4x + 6(-6 + x) = 4(x + -6) 4x + (-6 * 6 + x * 6) = 4(x + -6) 4x + (-36 + 6x) = 4(x + -6) Reorder the terms: -36 + 4x + 6x = 4(x + -6) Combine like terms: 4x + 6x = 10x -36 + 10x = 4(x + -6) Reorder the terms: -36 + 10x = 4(-6 + x) -36 + 10x = (-6 * 4 + x * 4) -36 + 10x = (-24 + 4x) Solving -36 + 10x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -36 + 10x + -4x = -24 + 4x + -4x Combine like terms: 10x + -4x = 6x -36 + 6x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -36 + 6x = -24 + 0 -36 + 6x = -24 Add '36' to each side of the equation. -36 + 36 + 6x = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = -24 + 36 6x = -24 + 36 Combine like terms: -24 + 36 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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