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Simplifying 3x + -1(9x + -1) = 4x + 71 Reorder the terms: 3x + -1(-1 + 9x) = 4x + 71 3x + (-1 * -1 + 9x * -1) = 4x + 71 3x + (1 + -9x) = 4x + 71 Reorder the terms: 1 + 3x + -9x = 4x + 71 Combine like terms: 3x + -9x = -6x 1 + -6x = 4x + 71 Reorder the terms: 1 + -6x = 71 + 4x Solving 1 + -6x = 71 + 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. 1 + -6x + -4x = 71 + 4x + -4x Combine like terms: -6x + -4x = -10x 1 + -10x = 71 + 4x + -4x Combine like terms: 4x + -4x = 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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