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Simplifying 45 = -3x + -7(-1x + -11) Reorder the terms: 45 = -3x + -7(-11 + -1x) 45 = -3x + (-11 * -7 + -1x * -7) 45 = -3x + (77 + 7x) Reorder the terms: 45 = 77 + -3x + 7x Combine like terms: -3x + 7x = 4x 45 = 77 + 4x Solving 45 = 77 + 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. 45 + -4x = 77 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + -4x = 77 + 0 45 + -4x = 77 Add '-45' to each side of the equation. 45 + -45 + -4x = 77 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 77 + -45 -4x = 77 + -45 Combine like terms: 77 + -45 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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