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Simplifying 8(x + 4) = 2(x + 37) Reorder the terms: 8(4 + x) = 2(x + 37) (4 * 8 + x * 8) = 2(x + 37) (32 + 8x) = 2(x + 37) Reorder the terms: 32 + 8x = 2(37 + x) 32 + 8x = (37 * 2 + x * 2) 32 + 8x = (74 + 2x) Solving 32 + 8x = 74 + 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. 32 + 8x + -2x = 74 + 2x + -2x Combine like terms: 8x + -2x = 6x 32 + 6x = 74 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 6x = 74 + 0 32 + 6x = 74 Add '-32' to each side of the equation. 32 + -32 + 6x = 74 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = 74 + -32 6x = 74 + -32 Combine like terms: 74 + -32 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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