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Simplifying X + 6(2x + -1) = 10 + -3(4 + -2) Reorder the terms: X + 6(-1 + 2x) = 10 + -3(4 + -2) X + (-1 * 6 + 2x * 6) = 10 + -3(4 + -2) X + (-6 + 12x) = 10 + -3(4 + -2) Reorder the terms: -6 + X + 12x = 10 + -3(4 + -2) Combine like terms: 4 + -2 = 2 -6 + X + 12x = 10 + -3(2) Multiply -3 * 2 -6 + X + 12x = 10 + -6 Combine like terms: 10 + -6 = 4 -6 + X + 12x = 4 Solving -6 + X + 12x = 4 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 + 12x = 4 + 6 Reorder the terms: -6 + 6 + X + 12x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + X + 12x = 4 + 6 X + 12x = 4 + 6 Combine like terms: 4 + 6 = 10 X + 12x = 10 Add '-12x' to each side of the equation. X + 12x + -12x = 10 + -12x Combine like terms: 12x + -12x = 0 X + 0 = 10 + -12x X = 10 + -12x Simplifying X = 10 + -12x
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