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Simplifying -7x + 34 = 4(x + 3) Reorder the terms: 34 + -7x = 4(x + 3) Reorder the terms: 34 + -7x = 4(3 + x) 34 + -7x = (3 * 4 + x * 4) 34 + -7x = (12 + 4x) Solving 34 + -7x = 12 + 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 = 12 + 4x + -4x Combine like terms: -7x + -4x = -11x 34 + -11x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + -11x = 12 + 0 34 + -11x = 12 Add '-34' to each side of the equation. 34 + -34 + -11x = 12 + -34 Combine like terms: 34 + -34 = 0 0 + -11x = 12 + -34 -11x = 12 + -34 Combine like terms: 12 + -34 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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