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Simplifying 40 + -1x = 7(-8 + -7x) 40 + -1x = (-8 * 7 + -7x * 7) 40 + -1x = (-56 + -49x) Solving 40 + -1x = -56 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 40 + -1x + 49x = -56 + -49x + 49x Combine like terms: -1x + 49x = 48x 40 + 48x = -56 + -49x + 49x Combine like terms: -49x + 49x = 0 40 + 48x = -56 + 0 40 + 48x = -56 Add '-40' to each side of the equation. 40 + -40 + 48x = -56 + -40 Combine like terms: 40 + -40 = 0 0 + 48x = -56 + -40 48x = -56 + -40 Combine like terms: -56 + -40 = -96 48x = -96 Divide each side by '48'. x = -2 Simplifying x = -2
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