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Simplifying 4 + -2(x + 2) = 4(x + -12) Reorder the terms: 4 + -2(2 + x) = 4(x + -12) 4 + (2 * -2 + x * -2) = 4(x + -12) 4 + (-4 + -2x) = 4(x + -12) Combine like terms: 4 + -4 = 0 0 + -2x = 4(x + -12) -2x = 4(x + -12) Reorder the terms: -2x = 4(-12 + x) -2x = (-12 * 4 + x * 4) -2x = (-48 + 4x) Solving -2x = -48 + 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. -2x + -4x = -48 + 4x + -4x Combine like terms: -2x + -4x = -6x -6x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 -6x = -48 + 0 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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