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