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Simplifying 7 + -1(15 + 3x) = 11x + -1(5x + -19) 7 + (15 * -1 + 3x * -1) = 11x + -1(5x + -19) 7 + (-15 + -3x) = 11x + -1(5x + -19) Combine like terms: 7 + -15 = -8 -8 + -3x = 11x + -1(5x + -19) Reorder the terms: -8 + -3x = 11x + -1(-19 + 5x) -8 + -3x = 11x + (-19 * -1 + 5x * -1) -8 + -3x = 11x + (19 + -5x) Reorder the terms: -8 + -3x = 19 + 11x + -5x Combine like terms: 11x + -5x = 6x -8 + -3x = 19 + 6x Solving -8 + -3x = 19 + 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. -8 + -3x + -6x = 19 + 6x + -6x Combine like terms: -3x + -6x = -9x -8 + -9x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -9x = 19 + 0 -8 + -9x = 19 Add '8' to each side of the equation. -8 + 8 + -9x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 19 + 8 -9x = 19 + 8 Combine like terms: 19 + 8 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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