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Simplifying 8 + -1(4x + 7) = 8x + -11 Reorder the terms: 8 + -1(7 + 4x) = 8x + -11 8 + (7 * -1 + 4x * -1) = 8x + -11 8 + (-7 + -4x) = 8x + -11 Combine like terms: 8 + -7 = 1 1 + -4x = 8x + -11 Reorder the terms: 1 + -4x = -11 + 8x Solving 1 + -4x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -4x + -8x = -11 + 8x + -8x Combine like terms: -4x + -8x = -12x 1 + -12x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -12x = -11 + 0 1 + -12x = -11 Add '-1' to each side of the equation. 1 + -1 + -12x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = -11 + -1 -12x = -11 + -1 Combine like terms: -11 + -1 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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