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Simplifying 5x + 3(11 + -4x) = 82 + x 5x + (11 * 3 + -4x * 3) = 82 + x 5x + (33 + -12x) = 82 + x Reorder the terms: 33 + 5x + -12x = 82 + x Combine like terms: 5x + -12x = -7x 33 + -7x = 82 + x Solving 33 + -7x = 82 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 33 + -7x + -1x = 82 + x + -1x Combine like terms: -7x + -1x = -8x 33 + -8x = 82 + x + -1x Combine like terms: x + -1x = 0 33 + -8x = 82 + 0 33 + -8x = 82 Add '-33' to each side of the equation. 33 + -33 + -8x = 82 + -33 Combine like terms: 33 + -33 = 0 0 + -8x = 82 + -33 -8x = 82 + -33 Combine like terms: 82 + -33 = 49 -8x = 49 Divide each side by '-8'. x = -6.125 Simplifying x = -6.125
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