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Simplifying X + 6(x + -1) = 7(3 + x) Reorder the terms: X + 6(-1 + x) = 7(3 + x) X + (-1 * 6 + x * 6) = 7(3 + x) X + (-6 + 6x) = 7(3 + x) Reorder the terms: -6 + X + 6x = 7(3 + x) -6 + X + 6x = (3 * 7 + x * 7) -6 + X + 6x = (21 + 7x) Solving -6 + X + 6x = 21 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + X + 6 + 6x = 21 + 6 + 7x Reorder the terms: -6 + 6 + X + 6x = 21 + 6 + 7x Combine like terms: -6 + 6 = 0 0 + X + 6x = 21 + 6 + 7x X + 6x = 21 + 6 + 7x Combine like terms: 21 + 6 = 27 X + 6x = 27 + 7x Add '-6x' to each side of the equation. X + 6x + -6x = 27 + 7x + -6x Combine like terms: 6x + -6x = 0 X + 0 = 27 + 7x + -6x X = 27 + 7x + -6x Combine like terms: 7x + -6x = 1x X = 27 + 1x Simplifying X = 27 + 1x
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