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Simplifying 1 + x + -7 = 7(6 + -3x) Reorder the terms: 1 + -7 + x = 7(6 + -3x) Combine like terms: 1 + -7 = -6 -6 + x = 7(6 + -3x) -6 + x = (6 * 7 + -3x * 7) -6 + x = (42 + -21x) Solving -6 + x = 42 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -6 + x + 21x = 42 + -21x + 21x Combine like terms: x + 21x = 22x -6 + 22x = 42 + -21x + 21x Combine like terms: -21x + 21x = 0 -6 + 22x = 42 + 0 -6 + 22x = 42 Add '6' to each side of the equation. -6 + 6 + 22x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 22x = 42 + 6 22x = 42 + 6 Combine like terms: 42 + 6 = 48 22x = 48 Divide each side by '22'. x = 2.181818182 Simplifying x = 2.181818182
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