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Simplifying 5(7 + 2x) + 3(x + 4) = 0 (7 * 5 + 2x * 5) + 3(x + 4) = 0 (35 + 10x) + 3(x + 4) = 0 Reorder the terms: 35 + 10x + 3(4 + x) = 0 35 + 10x + (4 * 3 + x * 3) = 0 35 + 10x + (12 + 3x) = 0 Reorder the terms: 35 + 12 + 10x + 3x = 0 Combine like terms: 35 + 12 = 47 47 + 10x + 3x = 0 Combine like terms: 10x + 3x = 13x 47 + 13x = 0 Solving 47 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 13x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 13x = 0 + -47 13x = 0 + -47 Combine like terms: 0 + -47 = -47 13x = -47 Divide each side by '13'. x = -3.615384615 Simplifying x = -3.615384615
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