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Simplifying 5(x + -1) + 2 = 2x + 11 Reorder the terms: 5(-1 + x) + 2 = 2x + 11 (-1 * 5 + x * 5) + 2 = 2x + 11 (-5 + 5x) + 2 = 2x + 11 Reorder the terms: -5 + 2 + 5x = 2x + 11 Combine like terms: -5 + 2 = -3 -3 + 5x = 2x + 11 Reorder the terms: -3 + 5x = 11 + 2x Solving -3 + 5x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 5x + -2x = 11 + 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = 11 + 0 -3 + 3x = 11 Add '3' to each side of the equation. -3 + 3 + 3x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 11 + 3 3x = 11 + 3 Combine like terms: 11 + 3 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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