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Simplifying 7x + -1(3x + 11) = 6 + -1(15 + -9x) Reorder the terms: 7x + -1(11 + 3x) = 6 + -1(15 + -9x) 7x + (11 * -1 + 3x * -1) = 6 + -1(15 + -9x) 7x + (-11 + -3x) = 6 + -1(15 + -9x) Reorder the terms: -11 + 7x + -3x = 6 + -1(15 + -9x) Combine like terms: 7x + -3x = 4x -11 + 4x = 6 + -1(15 + -9x) -11 + 4x = 6 + (15 * -1 + -9x * -1) -11 + 4x = 6 + (-15 + 9x) Combine like terms: 6 + -15 = -9 -11 + 4x = -9 + 9x Solving -11 + 4x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -11 + 4x + -9x = -9 + 9x + -9x Combine like terms: 4x + -9x = -5x -11 + -5x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -11 + -5x = -9 + 0 -11 + -5x = -9 Add '11' to each side of the equation. -11 + 11 + -5x = -9 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = -9 + 11 -5x = -9 + 11 Combine like terms: -9 + 11 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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