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Simplifying (5x(2) + 3) + (15x(2) + 2) = 0 Reorder the terms for easier multiplication: (5 * 2x + 3) + (15x(2) + 2) = 0 Multiply 5 * 2 (10x + 3) + (15x(2) + 2) = 0 Reorder the terms: (3 + 10x) + (15x(2) + 2) = 0 Remove parenthesis around (3 + 10x) 3 + 10x + (15x(2) + 2) = 0 Reorder the terms for easier multiplication: 3 + 10x + (15 * 2x + 2) = 0 Multiply 15 * 2 3 + 10x + (30x + 2) = 0 Reorder the terms: 3 + 10x + (2 + 30x) = 0 Remove parenthesis around (2 + 30x) 3 + 10x + 2 + 30x = 0 Reorder the terms: 3 + 2 + 10x + 30x = 0 Combine like terms: 3 + 2 = 5 5 + 10x + 30x = 0 Combine like terms: 10x + 30x = 40x 5 + 40x = 0 Solving 5 + 40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 40x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 40x = 0 + -5 40x = 0 + -5 Combine like terms: 0 + -5 = -5 40x = -5 Divide each side by '40'. x = -0.125 Simplifying x = -0.125
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