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Simplifying 2x + -1(3 + 5x) = 3(2x + 3) + 6 2x + (3 * -1 + 5x * -1) = 3(2x + 3) + 6 2x + (-3 + -5x) = 3(2x + 3) + 6 Reorder the terms: -3 + 2x + -5x = 3(2x + 3) + 6 Combine like terms: 2x + -5x = -3x -3 + -3x = 3(2x + 3) + 6 Reorder the terms: -3 + -3x = 3(3 + 2x) + 6 -3 + -3x = (3 * 3 + 2x * 3) + 6 -3 + -3x = (9 + 6x) + 6 Reorder the terms: -3 + -3x = 9 + 6 + 6x Combine like terms: 9 + 6 = 15 -3 + -3x = 15 + 6x Solving -3 + -3x = 15 + 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 = 15 + 6x + -6x Combine like terms: -3x + -6x = -9x -3 + -9x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -9x = 15 + 0 -3 + -9x = 15 Add '3' to each side of the equation. -3 + 3 + -9x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 15 + 3 -9x = 15 + 3 Combine like terms: 15 + 3 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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