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Simplifying 3(x + -4) + 6 = 5(5x + -1) + 1 Reorder the terms: 3(-4 + x) + 6 = 5(5x + -1) + 1 (-4 * 3 + x * 3) + 6 = 5(5x + -1) + 1 (-12 + 3x) + 6 = 5(5x + -1) + 1 Reorder the terms: -12 + 6 + 3x = 5(5x + -1) + 1 Combine like terms: -12 + 6 = -6 -6 + 3x = 5(5x + -1) + 1 Reorder the terms: -6 + 3x = 5(-1 + 5x) + 1 -6 + 3x = (-1 * 5 + 5x * 5) + 1 -6 + 3x = (-5 + 25x) + 1 Reorder the terms: -6 + 3x = -5 + 1 + 25x Combine like terms: -5 + 1 = -4 -6 + 3x = -4 + 25x Solving -6 + 3x = -4 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -6 + 3x + -25x = -4 + 25x + -25x Combine like terms: 3x + -25x = -22x -6 + -22x = -4 + 25x + -25x Combine like terms: 25x + -25x = 0 -6 + -22x = -4 + 0 -6 + -22x = -4 Add '6' to each side of the equation. -6 + 6 + -22x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -22x = -4 + 6 -22x = -4 + 6 Combine like terms: -4 + 6 = 2 -22x = 2 Divide each side by '-22'. x = -0.09090909091 Simplifying x = -0.09090909091
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