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Simplifying 4 + -1(4x + 7) = 11 + -6x Reorder the terms: 4 + -1(7 + 4x) = 11 + -6x 4 + (7 * -1 + 4x * -1) = 11 + -6x 4 + (-7 + -4x) = 11 + -6x Combine like terms: 4 + -7 = -3 -3 + -4x = 11 + -6x Solving -3 + -4x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + -4x + 6x = 11 + -6x + 6x Combine like terms: -4x + 6x = 2x -3 + 2x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 2x = 11 + 0 -3 + 2x = 11 Add '3' to each side of the equation. -3 + 3 + 2x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 11 + 3 2x = 11 + 3 Combine like terms: 11 + 3 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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