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Simplifying 7x + 34 = 4(x + 7) Reorder the terms: 34 + 7x = 4(x + 7) Reorder the terms: 34 + 7x = 4(7 + x) 34 + 7x = (7 * 4 + x * 4) 34 + 7x = (28 + 4x) Solving 34 + 7x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 34 + 7x + -4x = 28 + 4x + -4x Combine like terms: 7x + -4x = 3x 34 + 3x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + 3x = 28 + 0 34 + 3x = 28 Add '-34' to each side of the equation. 34 + -34 + 3x = 28 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 28 + -34 3x = 28 + -34 Combine like terms: 28 + -34 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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