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Simplifying -4x + -5 + x = 7(7 + -7x) + 6(1 + 6x) Reorder the terms: -5 + -4x + x = 7(7 + -7x) + 6(1 + 6x) Combine like terms: -4x + x = -3x -5 + -3x = 7(7 + -7x) + 6(1 + 6x) -5 + -3x = (7 * 7 + -7x * 7) + 6(1 + 6x) -5 + -3x = (49 + -49x) + 6(1 + 6x) -5 + -3x = 49 + -49x + (1 * 6 + 6x * 6) -5 + -3x = 49 + -49x + (6 + 36x) Reorder the terms: -5 + -3x = 49 + 6 + -49x + 36x Combine like terms: 49 + 6 = 55 -5 + -3x = 55 + -49x + 36x Combine like terms: -49x + 36x = -13x -5 + -3x = 55 + -13x Solving -5 + -3x = 55 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -5 + -3x + 13x = 55 + -13x + 13x Combine like terms: -3x + 13x = 10x -5 + 10x = 55 + -13x + 13x Combine like terms: -13x + 13x = 0 -5 + 10x = 55 + 0 -5 + 10x = 55 Add '5' to each side of the equation. -5 + 5 + 10x = 55 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 55 + 5 10x = 55 + 5 Combine like terms: 55 + 5 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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