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Simplifying 5(3 + -2x) + 5 = -10 + -5(5x) (3 * 5 + -2x * 5) + 5 = -10 + -5(5x) (15 + -10x) + 5 = -10 + -5(5x) Reorder the terms: 15 + 5 + -10x = -10 + -5(5x) Combine like terms: 15 + 5 = 20 20 + -10x = -10 + -5(5x) Remove parenthesis around (5x) 20 + -10x = -10 + -5 * 5x Multiply -5 * 5 20 + -10x = -10 + -25x Solving 20 + -10x = -10 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 20 + -10x + 25x = -10 + -25x + 25x Combine like terms: -10x + 25x = 15x 20 + 15x = -10 + -25x + 25x Combine like terms: -25x + 25x = 0 20 + 15x = -10 + 0 20 + 15x = -10 Add '-20' to each side of the equation. 20 + -20 + 15x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 15x = -10 + -20 15x = -10 + -20 Combine like terms: -10 + -20 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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