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Simplifying 6x + -1(4x + 7) = 3x + 11 + x Reorder the terms: 6x + -1(7 + 4x) = 3x + 11 + x 6x + (7 * -1 + 4x * -1) = 3x + 11 + x 6x + (-7 + -4x) = 3x + 11 + x Reorder the terms: -7 + 6x + -4x = 3x + 11 + x Combine like terms: 6x + -4x = 2x -7 + 2x = 3x + 11 + x Reorder the terms: -7 + 2x = 11 + 3x + x Combine like terms: 3x + x = 4x -7 + 2x = 11 + 4x Solving -7 + 2x = 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. -7 + 2x + -4x = 11 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = 11 + 0 -7 + -2x = 11 Add '7' to each side of the equation. -7 + 7 + -2x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 11 + 7 -2x = 11 + 7 Combine like terms: 11 + 7 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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