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Simplifying 5(3x + 1) + -2(5x + 35) = 0 Reorder the terms: 5(1 + 3x) + -2(5x + 35) = 0 (1 * 5 + 3x * 5) + -2(5x + 35) = 0 (5 + 15x) + -2(5x + 35) = 0 Reorder the terms: 5 + 15x + -2(35 + 5x) = 0 5 + 15x + (35 * -2 + 5x * -2) = 0 5 + 15x + (-70 + -10x) = 0 Reorder the terms: 5 + -70 + 15x + -10x = 0 Combine like terms: 5 + -70 = -65 -65 + 15x + -10x = 0 Combine like terms: 15x + -10x = 5x -65 + 5x = 0 Solving -65 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 5x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 5x = 0 + 65 5x = 0 + 65 Combine like terms: 0 + 65 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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