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Simplifying 360 + -1(38x + 2) = 0.5(16x + 4) Reorder the terms: 360 + -1(2 + 38x) = 0.5(16x + 4) 360 + (2 * -1 + 38x * -1) = 0.5(16x + 4) 360 + (-2 + -38x) = 0.5(16x + 4) Combine like terms: 360 + -2 = 358 358 + -38x = 0.5(16x + 4) Reorder the terms: 358 + -38x = 0.5(4 + 16x) 358 + -38x = (4 * 0.5 + 16x * 0.5) 358 + -38x = (2 + 8x) Solving 358 + -38x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 358 + -38x + -8x = 2 + 8x + -8x Combine like terms: -38x + -8x = -46x 358 + -46x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 358 + -46x = 2 + 0 358 + -46x = 2 Add '-358' to each side of the equation. 358 + -358 + -46x = 2 + -358 Combine like terms: 358 + -358 = 0 0 + -46x = 2 + -358 -46x = 2 + -358 Combine like terms: 2 + -358 = -356 -46x = -356 Divide each side by '-46'. x = 7.739130435 Simplifying x = 7.739130435
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