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Simplifying 10(1 + 3x) = -20 + 15x (1 * 10 + 3x * 10) = -20 + 15x (10 + 30x) = -20 + 15x Solving 10 + 30x = -20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 30x + -15x = -20 + 15x + -15x Combine like terms: 30x + -15x = 15x 10 + 15x = -20 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + 15x = -20 + 0 10 + 15x = -20 Add '-10' to each side of the equation. 10 + -10 + 15x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 15x = -20 + -10 15x = -20 + -10 Combine like terms: -20 + -10 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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