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Simplifying x + -4 = 2x + -1(2x + -7) + -1 Reorder the terms: -4 + x = 2x + -1(2x + -7) + -1 Reorder the terms: -4 + x = 2x + -1(-7 + 2x) + -1 -4 + x = 2x + (-7 * -1 + 2x * -1) + -1 -4 + x = 2x + (7 + -2x) + -1 Reorder the terms: -4 + x = 7 + -1 + 2x + -2x Combine like terms: 7 + -1 = 6 -4 + x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + x = 6 + 0 -4 + x = 6 Solving -4 + x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + x = 6 + 4 x = 6 + 4 Combine like terms: 6 + 4 = 10 x = 10 Simplifying x = 10
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