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Simplifying 5(2x + 3) + -3(5x + 1) = 0 Reorder the terms: 5(3 + 2x) + -3(5x + 1) = 0 (3 * 5 + 2x * 5) + -3(5x + 1) = 0 (15 + 10x) + -3(5x + 1) = 0 Reorder the terms: 15 + 10x + -3(1 + 5x) = 0 15 + 10x + (1 * -3 + 5x * -3) = 0 15 + 10x + (-3 + -15x) = 0 Reorder the terms: 15 + -3 + 10x + -15x = 0 Combine like terms: 15 + -3 = 12 12 + 10x + -15x = 0 Combine like terms: 10x + -15x = -5x 12 + -5x = 0 Solving 12 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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