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Simplifying 1 + -4x = 6x + 71 Reorder the terms: 1 + -4x = 71 + 6x Solving 1 + -4x = 71 + 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. 1 + -4x + -6x = 71 + 6x + -6x Combine like terms: -4x + -6x = -10x 1 + -10x = 71 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -10x = 71 + 0 1 + -10x = 71 Add '-1' to each side of the equation. 1 + -1 + -10x = 71 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 71 + -1 -10x = 71 + -1 Combine like terms: 71 + -1 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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