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Simplifying 5(-7x + 3) + 3x = 1 Reorder the terms: 5(3 + -7x) + 3x = 1 (3 * 5 + -7x * 5) + 3x = 1 (15 + -35x) + 3x = 1 Combine like terms: -35x + 3x = -32x 15 + -32x = 1 Solving 15 + -32x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -32x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -32x = 1 + -15 -32x = 1 + -15 Combine like terms: 1 + -15 = -14 -32x = -14 Divide each side by '-32'. x = 0.4375 Simplifying x = 0.4375
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