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Simplifying X + 6(x + -1) + -1(4 + -1x) = -10 Reorder the terms: X + 6(-1 + x) + -1(4 + -1x) = -10 X + (-1 * 6 + x * 6) + -1(4 + -1x) = -10 X + (-6 + 6x) + -1(4 + -1x) = -10 X + -6 + 6x + (4 * -1 + -1x * -1) = -10 X + -6 + 6x + (-4 + 1x) = -10 Reorder the terms: -6 + -4 + X + 6x + 1x = -10 Combine like terms: -6 + -4 = -10 -10 + X + 6x + 1x = -10 Combine like terms: 6x + 1x = 7x -10 + X + 7x = -10 Add '10' to each side of the equation. -10 + X + 10 + 7x = -10 + 10 Reorder the terms: -10 + 10 + X + 7x = -10 + 10 Combine like terms: -10 + 10 = 0 0 + X + 7x = -10 + 10 X + 7x = -10 + 10 Combine like terms: -10 + 10 = 0 X + 7x = 0 Solving X + 7x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7x' to each side of the equation. X + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 X + 0 = 0 + -7x X = 0 + -7x Remove the zero: X = -7x Simplifying X = -7x
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