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Simplifying 4(3x + 2) + -1x = -5x + 1 Reorder the terms: 4(2 + 3x) + -1x = -5x + 1 (2 * 4 + 3x * 4) + -1x = -5x + 1 (8 + 12x) + -1x = -5x + 1 Combine like terms: 12x + -1x = 11x 8 + 11x = -5x + 1 Reorder the terms: 8 + 11x = 1 + -5x Solving 8 + 11x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + 11x + 5x = 1 + -5x + 5x Combine like terms: 11x + 5x = 16x 8 + 16x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 16x = 1 + 0 8 + 16x = 1 Add '-8' to each side of the equation. 8 + -8 + 16x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 1 + -8 16x = 1 + -8 Combine like terms: 1 + -8 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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