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Simplifying 8(x + -37) = 2(x + 5) Reorder the terms: 8(-37 + x) = 2(x + 5) (-37 * 8 + x * 8) = 2(x + 5) (-296 + 8x) = 2(x + 5) Reorder the terms: -296 + 8x = 2(5 + x) -296 + 8x = (5 * 2 + x * 2) -296 + 8x = (10 + 2x) Solving -296 + 8x = 10 + 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. -296 + 8x + -2x = 10 + 2x + -2x Combine like terms: 8x + -2x = 6x -296 + 6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -296 + 6x = 10 + 0 -296 + 6x = 10 Add '296' to each side of the equation. -296 + 296 + 6x = 10 + 296 Combine like terms: -296 + 296 = 0 0 + 6x = 10 + 296 6x = 10 + 296 Combine like terms: 10 + 296 = 306 6x = 306 Divide each side by '6'. x = 51 Simplifying x = 51
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