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Simplifying 7x + 5(-3x + 1) = 13 Reorder the terms: 7x + 5(1 + -3x) = 13 7x + (1 * 5 + -3x * 5) = 13 7x + (5 + -15x) = 13 Reorder the terms: 5 + 7x + -15x = 13 Combine like terms: 7x + -15x = -8x 5 + -8x = 13 Solving 5 + -8x = 13 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 + -8x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 13 + -5 -8x = 13 + -5 Combine like terms: 13 + -5 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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