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Simplifying 4x + 34 = -3(x + 5) Reorder the terms: 34 + 4x = -3(x + 5) Reorder the terms: 34 + 4x = -3(5 + x) 34 + 4x = (5 * -3 + x * -3) 34 + 4x = (-15 + -3x) Solving 34 + 4x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 34 + 4x + 3x = -15 + -3x + 3x Combine like terms: 4x + 3x = 7x 34 + 7x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 34 + 7x = -15 + 0 34 + 7x = -15 Add '-34' to each side of the equation. 34 + -34 + 7x = -15 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = -15 + -34 7x = -15 + -34 Combine like terms: -15 + -34 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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