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Simplifying 5x + 3(-4x + 5) = -34 Reorder the terms: 5x + 3(5 + -4x) = -34 5x + (5 * 3 + -4x * 3) = -34 5x + (15 + -12x) = -34 Reorder the terms: 15 + 5x + -12x = -34 Combine like terms: 5x + -12x = -7x 15 + -7x = -34 Solving 15 + -7x = -34 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 + -7x = -34 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -34 + -15 -7x = -34 + -15 Combine like terms: -34 + -15 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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