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Simplifying -48 = -4x + -2(x + 6) Reorder the terms: -48 = -4x + -2(6 + x) -48 = -4x + (6 * -2 + x * -2) -48 = -4x + (-12 + -2x) Reorder the terms: -48 = -12 + -4x + -2x Combine like terms: -4x + -2x = -6x -48 = -12 + -6x Solving -48 = -12 + -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 + 6x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 -48 + 6x = -12 + 0 -48 + 6x = -12 Add '48' to each side of the equation. -48 + 48 + 6x = -12 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -12 + 48 6x = -12 + 48 Combine like terms: -12 + 48 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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