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Simplifying -6(1 + -4x) + -1x = 6x + -40 (1 * -6 + -4x * -6) + -1x = 6x + -40 (-6 + 24x) + -1x = 6x + -40 Combine like terms: 24x + -1x = 23x -6 + 23x = 6x + -40 Reorder the terms: -6 + 23x = -40 + 6x Solving -6 + 23x = -40 + 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. -6 + 23x + -6x = -40 + 6x + -6x Combine like terms: 23x + -6x = 17x -6 + 17x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 17x = -40 + 0 -6 + 17x = -40 Add '6' to each side of the equation. -6 + 6 + 17x = -40 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = -40 + 6 17x = -40 + 6 Combine like terms: -40 + 6 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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