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Simplifying 45 + 23(2x + 1) = 35 + 28(2x + 1) Reorder the terms: 45 + 23(1 + 2x) = 35 + 28(2x + 1) 45 + (1 * 23 + 2x * 23) = 35 + 28(2x + 1) 45 + (23 + 46x) = 35 + 28(2x + 1) Combine like terms: 45 + 23 = 68 68 + 46x = 35 + 28(2x + 1) Reorder the terms: 68 + 46x = 35 + 28(1 + 2x) 68 + 46x = 35 + (1 * 28 + 2x * 28) 68 + 46x = 35 + (28 + 56x) Combine like terms: 35 + 28 = 63 68 + 46x = 63 + 56x Solving 68 + 46x = 63 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 68 + 46x + -56x = 63 + 56x + -56x Combine like terms: 46x + -56x = -10x 68 + -10x = 63 + 56x + -56x Combine like terms: 56x + -56x = 0 68 + -10x = 63 + 0 68 + -10x = 63 Add '-68' to each side of the equation. 68 + -68 + -10x = 63 + -68 Combine like terms: 68 + -68 = 0 0 + -10x = 63 + -68 -10x = 63 + -68 Combine like terms: 63 + -68 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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