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