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Simplifying X + -6(x + -1) = 7(3 + -1x) Reorder the terms: X + -6(-1 + x) = 7(3 + -1x) X + (-1 * -6 + x * -6) = 7(3 + -1x) X + (6 + -6x) = 7(3 + -1x) Reorder the terms: 6 + X + -6x = 7(3 + -1x) 6 + X + -6x = (3 * 7 + -1x * 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 = 15 X + -6x = 15 + -7x Add '6x' to each side of the equation. X + -6x + 6x = 15 + -7x + 6x Combine like terms: -6x + 6x = 0 X + 0 = 15 + -7x + 6x X = 15 + -7x + 6x Combine like terms: -7x + 6x = -1x X = 15 + -1x Simplifying X = 15 + -1x
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