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Simplifying 5(x + -1) = -2(x + 3) + 21 Reorder the terms: 5(-1 + x) = -2(x + 3) + 21 (-1 * 5 + x * 5) = -2(x + 3) + 21 (-5 + 5x) = -2(x + 3) + 21 Reorder the terms: -5 + 5x = -2(3 + x) + 21 -5 + 5x = (3 * -2 + x * -2) + 21 -5 + 5x = (-6 + -2x) + 21 Reorder the terms: -5 + 5x = -6 + 21 + -2x Combine like terms: -6 + 21 = 15 -5 + 5x = 15 + -2x Solving -5 + 5x = 15 + -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. -5 + 5x + 2x = 15 + -2x + 2x Combine like terms: 5x + 2x = 7x -5 + 7x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 7x = 15 + 0 -5 + 7x = 15 Add '5' to each side of the equation. -5 + 5 + 7x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 15 + 5 7x = 15 + 5 Combine like terms: 15 + 5 = 20 7x = 20 Divide each side by '7'. x = 2.857142857 Simplifying x = 2.857142857
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