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Simplifying 7x + 5(-2x + 3) = 42 Reorder the terms: 7x + 5(3 + -2x) = 42 7x + (3 * 5 + -2x * 5) = 42 7x + (15 + -10x) = 42 Reorder the terms: 15 + 7x + -10x = 42 Combine like terms: 7x + -10x = -3x 15 + -3x = 42 Solving 15 + -3x = 42 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 + -3x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 42 + -15 -3x = 42 + -15 Combine like terms: 42 + -15 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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