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Simplifying -160 = -4x + -4(3x + 12) Reorder the terms: -160 = -4x + -4(12 + 3x) -160 = -4x + (12 * -4 + 3x * -4) -160 = -4x + (-48 + -12x) Reorder the terms: -160 = -48 + -4x + -12x Combine like terms: -4x + -12x = -16x -160 = -48 + -16x Solving -160 = -48 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -160 + 16x = -48 + -16x + 16x Combine like terms: -16x + 16x = 0 -160 + 16x = -48 + 0 -160 + 16x = -48 Add '160' to each side of the equation. -160 + 160 + 16x = -48 + 160 Combine like terms: -160 + 160 = 0 0 + 16x = -48 + 160 16x = -48 + 160 Combine like terms: -48 + 160 = 112 16x = 112 Divide each side by '16'. x = 7 Simplifying x = 7
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