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