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Simplifying 7x + -1(6x + 8) = 4x + -11 Reorder the terms: 7x + -1(8 + 6x) = 4x + -11 7x + (8 * -1 + 6x * -1) = 4x + -11 7x + (-8 + -6x) = 4x + -11 Reorder the terms: -8 + 7x + -6x = 4x + -11 Combine like terms: 7x + -6x = 1x -8 + 1x = 4x + -11 Reorder the terms: -8 + 1x = -11 + 4x Solving -8 + 1x = -11 + 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. -8 + 1x + -4x = -11 + 4x + -4x Combine like terms: 1x + -4x = -3x -8 + -3x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -3x = -11 + 0 -8 + -3x = -11 Add '8' to each side of the equation. -8 + 8 + -3x = -11 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -11 + 8 -3x = -11 + 8 Combine like terms: -11 + 8 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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