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Simplifying (X + -1) + -6x = 10 + -2(x + -4) Reorder the terms: (-1 + X) + -6x = 10 + -2(x + -4) Remove parenthesis around (-1 + X) -1 + X + -6x = 10 + -2(x + -4) Reorder the terms: -1 + X + -6x = 10 + -2(-4 + x) -1 + X + -6x = 10 + (-4 * -2 + x * -2) -1 + X + -6x = 10 + (8 + -2x) Combine like terms: 10 + 8 = 18 -1 + X + -6x = 18 + -2x Solving -1 + X + -6x = 18 + -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + X + 1 + -6x = 18 + 1 + -2x Reorder the terms: -1 + 1 + X + -6x = 18 + 1 + -2x Combine like terms: -1 + 1 = 0 0 + X + -6x = 18 + 1 + -2x X + -6x = 18 + 1 + -2x Combine like terms: 18 + 1 = 19 X + -6x = 19 + -2x Add '6x' to each side of the equation. X + -6x + 6x = 19 + -2x + 6x Combine like terms: -6x + 6x = 0 X + 0 = 19 + -2x + 6x X = 19 + -2x + 6x Combine like terms: -2x + 6x = 4x X = 19 + 4x Simplifying X = 19 + 4x
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