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Simplifying 4(12 + -1x) = 2(3(8x + 4)) (12 * 4 + -1x * 4) = 2(3(8x + 4)) (48 + -4x) = 2(3(8x + 4)) Reorder the terms: 48 + -4x = 2(3(4 + 8x)) 48 + -4x = 2((4 * 3 + 8x * 3)) 48 + -4x = 2((12 + 24x)) 48 + -4x = (12 * 2 + 24x * 2) 48 + -4x = (24 + 48x) Solving 48 + -4x = 24 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 48 + -4x + -48x = 24 + 48x + -48x Combine like terms: -4x + -48x = -52x 48 + -52x = 24 + 48x + -48x Combine like terms: 48x + -48x = 0 48 + -52x = 24 + 0 48 + -52x = 24 Add '-48' to each side of the equation. 48 + -48 + -52x = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -52x = 24 + -48 -52x = 24 + -48 Combine like terms: 24 + -48 = -24 -52x = -24 Divide each side by '-52'. x = 0.4615384615 Simplifying x = 0.4615384615
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