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