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Simplifying 7(X + 31) + -3(X + -2) = 16(2X + -3) Reorder the terms: 7(31 + X) + -3(X + -2) = 16(2X + -3) (31 * 7 + X * 7) + -3(X + -2) = 16(2X + -3) (217 + 7X) + -3(X + -2) = 16(2X + -3) Reorder the terms: 217 + 7X + -3(-2 + X) = 16(2X + -3) 217 + 7X + (-2 * -3 + X * -3) = 16(2X + -3) 217 + 7X + (6 + -3X) = 16(2X + -3) Reorder the terms: 217 + 6 + 7X + -3X = 16(2X + -3) Combine like terms: 217 + 6 = 223 223 + 7X + -3X = 16(2X + -3) Combine like terms: 7X + -3X = 4X 223 + 4X = 16(2X + -3) Reorder the terms: 223 + 4X = 16(-3 + 2X) 223 + 4X = (-3 * 16 + 2X * 16) 223 + 4X = (-48 + 32X) Solving 223 + 4X = -48 + 32X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-32X' to each side of the equation. 223 + 4X + -32X = -48 + 32X + -32X Combine like terms: 4X + -32X = -28X 223 + -28X = -48 + 32X + -32X Combine like terms: 32X + -32X = 0 223 + -28X = -48 + 0 223 + -28X = -48 Add '-223' to each side of the equation. 223 + -223 + -28X = -48 + -223 Combine like terms: 223 + -223 = 0 0 + -28X = -48 + -223 -28X = -48 + -223 Combine like terms: -48 + -223 = -271 -28X = -271 Divide each side by '-28'. X = 9.678571429 Simplifying X = 9.678571429
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