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Simplifying 6x + 5 = 4(x + 4) + 1 Reorder the terms: 5 + 6x = 4(x + 4) + 1 Reorder the terms: 5 + 6x = 4(4 + x) + 1 5 + 6x = (4 * 4 + x * 4) + 1 5 + 6x = (16 + 4x) + 1 Reorder the terms: 5 + 6x = 16 + 1 + 4x Combine like terms: 16 + 1 = 17 5 + 6x = 17 + 4x Solving 5 + 6x = 17 + 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. 5 + 6x + -4x = 17 + 4x + -4x Combine like terms: 6x + -4x = 2x 5 + 2x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 2x = 17 + 0 5 + 2x = 17 Add '-5' to each side of the equation. 5 + -5 + 2x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 17 + -5 2x = 17 + -5 Combine like terms: 17 + -5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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