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Simplifying 5(x + -13) + -3(2 + -1x) = 54 + -4x Reorder the terms: 5(-13 + x) + -3(2 + -1x) = 54 + -4x (-13 * 5 + x * 5) + -3(2 + -1x) = 54 + -4x (-65 + 5x) + -3(2 + -1x) = 54 + -4x -65 + 5x + (2 * -3 + -1x * -3) = 54 + -4x -65 + 5x + (-6 + 3x) = 54 + -4x Reorder the terms: -65 + -6 + 5x + 3x = 54 + -4x Combine like terms: -65 + -6 = -71 -71 + 5x + 3x = 54 + -4x Combine like terms: 5x + 3x = 8x -71 + 8x = 54 + -4x Solving -71 + 8x = 54 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -71 + 8x + 4x = 54 + -4x + 4x Combine like terms: 8x + 4x = 12x -71 + 12x = 54 + -4x + 4x Combine like terms: -4x + 4x = 0 -71 + 12x = 54 + 0 -71 + 12x = 54 Add '71' to each side of the equation. -71 + 71 + 12x = 54 + 71 Combine like terms: -71 + 71 = 0 0 + 12x = 54 + 71 12x = 54 + 71 Combine like terms: 54 + 71 = 125 12x = 125 Divide each side by '12'. x = 10.41666667 Simplifying x = 10.41666667
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