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Simplifying 4x + 53 = 2(x + 23) Reorder the terms: 53 + 4x = 2(x + 23) Reorder the terms: 53 + 4x = 2(23 + x) 53 + 4x = (23 * 2 + x * 2) 53 + 4x = (46 + 2x) Solving 53 + 4x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 53 + 4x + -2x = 46 + 2x + -2x Combine like terms: 4x + -2x = 2x 53 + 2x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 53 + 2x = 46 + 0 53 + 2x = 46 Add '-53' to each side of the equation. 53 + -53 + 2x = 46 + -53 Combine like terms: 53 + -53 = 0 0 + 2x = 46 + -53 2x = 46 + -53 Combine like terms: 46 + -53 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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