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Simplifying 3x + -1(6x + 5) = 2x + -15 Reorder the terms: 3x + -1(5 + 6x) = 2x + -15 3x + (5 * -1 + 6x * -1) = 2x + -15 3x + (-5 + -6x) = 2x + -15 Reorder the terms: -5 + 3x + -6x = 2x + -15 Combine like terms: 3x + -6x = -3x -5 + -3x = 2x + -15 Reorder the terms: -5 + -3x = -15 + 2x Solving -5 + -3x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -3x + -2x = -15 + 2x + -2x Combine like terms: -3x + -2x = -5x -5 + -5x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -5x = -15 + 0 -5 + -5x = -15 Add '5' to each side of the equation. -5 + 5 + -5x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -15 + 5 -5x = -15 + 5 Combine like terms: -15 + 5 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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