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Simplifying 2(4x + 53) = x + 23 Reorder the terms: 2(53 + 4x) = x + 23 (53 * 2 + 4x * 2) = x + 23 (106 + 8x) = x + 23 Reorder the terms: 106 + 8x = 23 + x Solving 106 + 8x = 23 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 106 + 8x + -1x = 23 + x + -1x Combine like terms: 8x + -1x = 7x 106 + 7x = 23 + x + -1x Combine like terms: x + -1x = 0 106 + 7x = 23 + 0 106 + 7x = 23 Add '-106' to each side of the equation. 106 + -106 + 7x = 23 + -106 Combine like terms: 106 + -106 = 0 0 + 7x = 23 + -106 7x = 23 + -106 Combine like terms: 23 + -106 = -83 7x = -83 Divide each side by '7'. x = -11.85714286 Simplifying x = -11.85714286
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