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Simplifying -16(10x + -90) = 32(8x + 71) Reorder the terms: -16(-90 + 10x) = 32(8x + 71) (-90 * -16 + 10x * -16) = 32(8x + 71) (1440 + -160x) = 32(8x + 71) Reorder the terms: 1440 + -160x = 32(71 + 8x) 1440 + -160x = (71 * 32 + 8x * 32) 1440 + -160x = (2272 + 256x) Solving 1440 + -160x = 2272 + 256x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-256x' to each side of the equation. 1440 + -160x + -256x = 2272 + 256x + -256x Combine like terms: -160x + -256x = -416x 1440 + -416x = 2272 + 256x + -256x Combine like terms: 256x + -256x = 0 1440 + -416x = 2272 + 0 1440 + -416x = 2272 Add '-1440' to each side of the equation. 1440 + -1440 + -416x = 2272 + -1440 Combine like terms: 1440 + -1440 = 0 0 + -416x = 2272 + -1440 -416x = 2272 + -1440 Combine like terms: 2272 + -1440 = 832 -416x = 832 Divide each side by '-416'. x = -2 Simplifying x = -2
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