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Simplifying 29x + 23 = 4(6x + 4) + 5 + 7 Reorder the terms: 23 + 29x = 4(6x + 4) + 5 + 7 Reorder the terms: 23 + 29x = 4(4 + 6x) + 5 + 7 23 + 29x = (4 * 4 + 6x * 4) + 5 + 7 23 + 29x = (16 + 24x) + 5 + 7 Reorder the terms: 23 + 29x = 16 + 5 + 7 + 24x Combine like terms: 16 + 5 = 21 23 + 29x = 21 + 7 + 24x Combine like terms: 21 + 7 = 28 23 + 29x = 28 + 24x Solving 23 + 29x = 28 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 23 + 29x + -24x = 28 + 24x + -24x Combine like terms: 29x + -24x = 5x 23 + 5x = 28 + 24x + -24x Combine like terms: 24x + -24x = 0 23 + 5x = 28 + 0 23 + 5x = 28 Add '-23' to each side of the equation. 23 + -23 + 5x = 28 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 28 + -23 5x = 28 + -23 Combine like terms: 28 + -23 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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