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