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Simplifying x + -5x + -10 = 3 + -6x + 1 Reorder the terms: -10 + x + -5x = 3 + -6x + 1 Combine like terms: x + -5x = -4x -10 + -4x = 3 + -6x + 1 Reorder the terms: -10 + -4x = 3 + 1 + -6x Combine like terms: 3 + 1 = 4 -10 + -4x = 4 + -6x Solving -10 + -4x = 4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -4x + 6x = 4 + -6x + 6x Combine like terms: -4x + 6x = 2x -10 + 2x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 2x = 4 + 0 -10 + 2x = 4 Add '10' to each side of the equation. -10 + 10 + 2x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 4 + 10 2x = 4 + 10 Combine like terms: 4 + 10 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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