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Simplifying 15(2x + 3) = 13 + -5x Reorder the terms: 15(3 + 2x) = 13 + -5x (3 * 15 + 2x * 15) = 13 + -5x (45 + 30x) = 13 + -5x Solving 45 + 30x = 13 + -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. 45 + 30x + 5x = 13 + -5x + 5x Combine like terms: 30x + 5x = 35x 45 + 35x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 45 + 35x = 13 + 0 45 + 35x = 13 Add '-45' to each side of the equation. 45 + -45 + 35x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 35x = 13 + -45 35x = 13 + -45 Combine like terms: 13 + -45 = -32 35x = -32 Divide each side by '35'. x = -0.9142857143 Simplifying x = -0.9142857143
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