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Simplifying 6 + -1x = 4x + 6(1 + -7x) 6 + -1x = 4x + (1 * 6 + -7x * 6) 6 + -1x = 4x + (6 + -42x) Reorder the terms: 6 + -1x = 6 + 4x + -42x Combine like terms: 4x + -42x = -38x 6 + -1x = 6 + -38x Add '-6' to each side of the equation. 6 + -6 + -1x = 6 + -6 + -38x Combine like terms: 6 + -6 = 0 0 + -1x = 6 + -6 + -38x -1x = 6 + -6 + -38x Combine like terms: 6 + -6 = 0 -1x = 0 + -38x -1x = -38x Solving -1x = -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -1x + 38x = -38x + 38x Combine like terms: -1x + 38x = 37x 37x = -38x + 38x Combine like terms: -38x + 38x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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