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Simplifying 2x + -1(5x + 3) = -1(6x + 15) + 6 Reorder the terms: 2x + -1(3 + 5x) = -1(6x + 15) + 6 2x + (3 * -1 + 5x * -1) = -1(6x + 15) + 6 2x + (-3 + -5x) = -1(6x + 15) + 6 Reorder the terms: -3 + 2x + -5x = -1(6x + 15) + 6 Combine like terms: 2x + -5x = -3x -3 + -3x = -1(6x + 15) + 6 Reorder the terms: -3 + -3x = -1(15 + 6x) + 6 -3 + -3x = (15 * -1 + 6x * -1) + 6 -3 + -3x = (-15 + -6x) + 6 Reorder the terms: -3 + -3x = -15 + 6 + -6x Combine like terms: -15 + 6 = -9 -3 + -3x = -9 + -6x Solving -3 + -3x = -9 + -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 + -3x + 6x = -9 + -6x + 6x Combine like terms: -3x + 6x = 3x -3 + 3x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 3x = -9 + 0 -3 + 3x = -9 Add '3' to each side of the equation. -3 + 3 + 3x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -9 + 3 3x = -9 + 3 Combine like terms: -9 + 3 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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