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