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Simplifying 40 + -1x = -7(7 + -1x) 40 + -1x = (7 * -7 + -1x * -7) 40 + -1x = (-49 + 7x) Solving 40 + -1x = -49 + 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 = -49 + 7x + -7x Combine like terms: -1x + -7x = -8x 40 + -8x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + -8x = -49 + 0 40 + -8x = -49 Add '-40' to each side of the equation. 40 + -40 + -8x = -49 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -49 + -40 -8x = -49 + -40 Combine like terms: -49 + -40 = -89 -8x = -89 Divide each side by '-8'. x = 11.125 Simplifying x = 11.125
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