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Simplifying 3(7x + -1) = 6 + -4x + 6(2x + 8) Reorder the terms: 3(-1 + 7x) = 6 + -4x + 6(2x + 8) (-1 * 3 + 7x * 3) = 6 + -4x + 6(2x + 8) (-3 + 21x) = 6 + -4x + 6(2x + 8) Reorder the terms: -3 + 21x = 6 + -4x + 6(8 + 2x) -3 + 21x = 6 + -4x + (8 * 6 + 2x * 6) -3 + 21x = 6 + -4x + (48 + 12x) Reorder the terms: -3 + 21x = 6 + 48 + -4x + 12x Combine like terms: 6 + 48 = 54 -3 + 21x = 54 + -4x + 12x Combine like terms: -4x + 12x = 8x -3 + 21x = 54 + 8x Solving -3 + 21x = 54 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 21x + -8x = 54 + 8x + -8x Combine like terms: 21x + -8x = 13x -3 + 13x = 54 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 13x = 54 + 0 -3 + 13x = 54 Add '3' to each side of the equation. -3 + 3 + 13x = 54 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 54 + 3 13x = 54 + 3 Combine like terms: 54 + 3 = 57 13x = 57 Divide each side by '13'. x = 4.384615385 Simplifying x = 4.384615385
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