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Simplifying 9(-19x + -38) = -16(-12 + -2x) Reorder the terms: 9(-38 + -19x) = -16(-12 + -2x) (-38 * 9 + -19x * 9) = -16(-12 + -2x) (-342 + -171x) = -16(-12 + -2x) -342 + -171x = (-12 * -16 + -2x * -16) -342 + -171x = (192 + 32x) Solving -342 + -171x = 192 + 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. -342 + -171x + -32x = 192 + 32x + -32x Combine like terms: -171x + -32x = -203x -342 + -203x = 192 + 32x + -32x Combine like terms: 32x + -32x = 0 -342 + -203x = 192 + 0 -342 + -203x = 192 Add '342' to each side of the equation. -342 + 342 + -203x = 192 + 342 Combine like terms: -342 + 342 = 0 0 + -203x = 192 + 342 -203x = 192 + 342 Combine like terms: 192 + 342 = 534 -203x = 534 Divide each side by '-203'. x = -2.630541872 Simplifying x = -2.630541872
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