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Simplifying 4(x + 38) = 2(x + 47) Reorder the terms: 4(38 + x) = 2(x + 47) (38 * 4 + x * 4) = 2(x + 47) (152 + 4x) = 2(x + 47) Reorder the terms: 152 + 4x = 2(47 + x) 152 + 4x = (47 * 2 + x * 2) 152 + 4x = (94 + 2x) Solving 152 + 4x = 94 + 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. 152 + 4x + -2x = 94 + 2x + -2x Combine like terms: 4x + -2x = 2x 152 + 2x = 94 + 2x + -2x Combine like terms: 2x + -2x = 0 152 + 2x = 94 + 0 152 + 2x = 94 Add '-152' to each side of the equation. 152 + -152 + 2x = 94 + -152 Combine like terms: 152 + -152 = 0 0 + 2x = 94 + -152 2x = 94 + -152 Combine like terms: 94 + -152 = -58 2x = -58 Divide each side by '2'. x = -29 Simplifying x = -29
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