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Simplifying -31(-1x + 16) = 5(3x + -48) Reorder the terms: -31(16 + -1x) = 5(3x + -48) (16 * -31 + -1x * -31) = 5(3x + -48) (-496 + 31x) = 5(3x + -48) Reorder the terms: -496 + 31x = 5(-48 + 3x) -496 + 31x = (-48 * 5 + 3x * 5) -496 + 31x = (-240 + 15x) Solving -496 + 31x = -240 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -496 + 31x + -15x = -240 + 15x + -15x Combine like terms: 31x + -15x = 16x -496 + 16x = -240 + 15x + -15x Combine like terms: 15x + -15x = 0 -496 + 16x = -240 + 0 -496 + 16x = -240 Add '496' to each side of the equation. -496 + 496 + 16x = -240 + 496 Combine like terms: -496 + 496 = 0 0 + 16x = -240 + 496 16x = -240 + 496 Combine like terms: -240 + 496 = 256 16x = 256 Divide each side by '16'. x = 16 Simplifying x = 16
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