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Simplifying 4(x + -12) = 2 + -6x Reorder the terms: 4(-12 + x) = 2 + -6x (-12 * 4 + x * 4) = 2 + -6x (-48 + 4x) = 2 + -6x Solving -48 + 4x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -48 + 4x + 6x = 2 + -6x + 6x Combine like terms: 4x + 6x = 10x -48 + 10x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -48 + 10x = 2 + 0 -48 + 10x = 2 Add '48' to each side of the equation. -48 + 48 + 10x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 10x = 2 + 48 10x = 2 + 48 Combine like terms: 2 + 48 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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