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Simplifying 7(x + -2) = -5(x + 3) + 22 Reorder the terms: 7(-2 + x) = -5(x + 3) + 22 (-2 * 7 + x * 7) = -5(x + 3) + 22 (-14 + 7x) = -5(x + 3) + 22 Reorder the terms: -14 + 7x = -5(3 + x) + 22 -14 + 7x = (3 * -5 + x * -5) + 22 -14 + 7x = (-15 + -5x) + 22 Reorder the terms: -14 + 7x = -15 + 22 + -5x Combine like terms: -15 + 22 = 7 -14 + 7x = 7 + -5x Solving -14 + 7x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + 7x + 5x = 7 + -5x + 5x Combine like terms: 7x + 5x = 12x -14 + 12x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 12x = 7 + 0 -14 + 12x = 7 Add '14' to each side of the equation. -14 + 14 + 12x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 7 + 14 12x = 7 + 14 Combine like terms: 7 + 14 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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