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Simplifying -1x + -40 = -1(1 + -7x) + 1 Reorder the terms: -40 + -1x = -1(1 + -7x) + 1 -40 + -1x = (1 * -1 + -7x * -1) + 1 -40 + -1x = (-1 + 7x) + 1 Reorder the terms: -40 + -1x = -1 + 1 + 7x Combine like terms: -1 + 1 = 0 -40 + -1x = 0 + 7x -40 + -1x = 7x Solving -40 + -1x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -40 + -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -40 + -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -40 + -8x = 0 Add '40' to each side of the equation. -40 + 40 + -8x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = 0 + 40 -8x = 0 + 40 Combine like terms: 0 + 40 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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