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Simplifying 5x + 34 = 4(x + 5) + 7 Reorder the terms: 34 + 5x = 4(x + 5) + 7 Reorder the terms: 34 + 5x = 4(5 + x) + 7 34 + 5x = (5 * 4 + x * 4) + 7 34 + 5x = (20 + 4x) + 7 Reorder the terms: 34 + 5x = 20 + 7 + 4x Combine like terms: 20 + 7 = 27 34 + 5x = 27 + 4x Solving 34 + 5x = 27 + 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 + 5x + -4x = 27 + 4x + -4x Combine like terms: 5x + -4x = 1x 34 + 1x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 34 + 1x = 27 + 0 34 + 1x = 27 Add '-34' to each side of the equation. 34 + -34 + 1x = 27 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 27 + -34 1x = 27 + -34 Combine like terms: 27 + -34 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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