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Simplifying -12x + 12(4 + -4x) = 6(1 + 5x) + x -12x + (4 * 12 + -4x * 12) = 6(1 + 5x) + x -12x + (48 + -48x) = 6(1 + 5x) + x Reorder the terms: 48 + -12x + -48x = 6(1 + 5x) + x Combine like terms: -12x + -48x = -60x 48 + -60x = 6(1 + 5x) + x 48 + -60x = (1 * 6 + 5x * 6) + x 48 + -60x = (6 + 30x) + x Combine like terms: 30x + x = 31x 48 + -60x = 6 + 31x Solving 48 + -60x = 6 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 48 + -60x + -31x = 6 + 31x + -31x Combine like terms: -60x + -31x = -91x 48 + -91x = 6 + 31x + -31x Combine like terms: 31x + -31x = 0 48 + -91x = 6 + 0 48 + -91x = 6 Add '-48' to each side of the equation. 48 + -48 + -91x = 6 + -48 Combine like terms: 48 + -48 = 0 0 + -91x = 6 + -48 -91x = 6 + -48 Combine like terms: 6 + -48 = -42 -91x = -42 Divide each side by '-91'. x = 0.4615384615 Simplifying x = 0.4615384615
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