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Simplifying 6x + -5 = 7x + 3 + -1(2 + -1x) Reorder the terms: -5 + 6x = 7x + 3 + -1(2 + -1x) -5 + 6x = 7x + 3 + (2 * -1 + -1x * -1) -5 + 6x = 7x + 3 + (-2 + 1x) Reorder the terms: -5 + 6x = 3 + -2 + 7x + 1x Combine like terms: 3 + -2 = 1 -5 + 6x = 1 + 7x + 1x Combine like terms: 7x + 1x = 8x -5 + 6x = 1 + 8x Solving -5 + 6x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 6x + -8x = 1 + 8x + -8x Combine like terms: 6x + -8x = -2x -5 + -2x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -2x = 1 + 0 -5 + -2x = 1 Add '5' to each side of the equation. -5 + 5 + -2x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 1 + 5 -2x = 1 + 5 Combine like terms: 1 + 5 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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