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Simplifying 45 + 23(x + 1) = 35 + 28(x + 1) Reorder the terms: 45 + 23(1 + x) = 35 + 28(x + 1) 45 + (1 * 23 + x * 23) = 35 + 28(x + 1) 45 + (23 + 23x) = 35 + 28(x + 1) Combine like terms: 45 + 23 = 68 68 + 23x = 35 + 28(x + 1) Reorder the terms: 68 + 23x = 35 + 28(1 + x) 68 + 23x = 35 + (1 * 28 + x * 28) 68 + 23x = 35 + (28 + 28x) Combine like terms: 35 + 28 = 63 68 + 23x = 63 + 28x Solving 68 + 23x = 63 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 68 + 23x + -28x = 63 + 28x + -28x Combine like terms: 23x + -28x = -5x 68 + -5x = 63 + 28x + -28x Combine like terms: 28x + -28x = 0 68 + -5x = 63 + 0 68 + -5x = 63 Add '-68' to each side of the equation. 68 + -68 + -5x = 63 + -68 Combine like terms: 68 + -68 = 0 0 + -5x = 63 + -68 -5x = 63 + -68 Combine like terms: 63 + -68 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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