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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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