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Simplifying 3x + -5(2x + 7) = 11 + x Reorder the terms: 3x + -5(7 + 2x) = 11 + x 3x + (7 * -5 + 2x * -5) = 11 + x 3x + (-35 + -10x) = 11 + x Reorder the terms: -35 + 3x + -10x = 11 + x Combine like terms: 3x + -10x = -7x -35 + -7x = 11 + x Solving -35 + -7x = 11 + 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. -35 + -7x + -1x = 11 + x + -1x Combine like terms: -7x + -1x = -8x -35 + -8x = 11 + x + -1x Combine like terms: x + -1x = 0 -35 + -8x = 11 + 0 -35 + -8x = 11 Add '35' to each side of the equation. -35 + 35 + -8x = 11 + 35 Combine like terms: -35 + 35 = 0 0 + -8x = 11 + 35 -8x = 11 + 35 Combine like terms: 11 + 35 = 46 -8x = 46 Divide each side by '-8'. x = -5.75 Simplifying x = -5.75
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