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Simplifying 7(x + -2) = -3(x + 3) + 37 Reorder the terms: 7(-2 + x) = -3(x + 3) + 37 (-2 * 7 + x * 7) = -3(x + 3) + 37 (-14 + 7x) = -3(x + 3) + 37 Reorder the terms: -14 + 7x = -3(3 + x) + 37 -14 + 7x = (3 * -3 + x * -3) + 37 -14 + 7x = (-9 + -3x) + 37 Reorder the terms: -14 + 7x = -9 + 37 + -3x Combine like terms: -9 + 37 = 28 -14 + 7x = 28 + -3x Solving -14 + 7x = 28 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 7x + 3x = 28 + -3x + 3x Combine like terms: 7x + 3x = 10x -14 + 10x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 10x = 28 + 0 -14 + 10x = 28 Add '14' to each side of the equation. -14 + 14 + 10x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = 28 + 14 10x = 28 + 14 Combine like terms: 28 + 14 = 42 10x = 42 Divide each side by '10'. x = 4.2 Simplifying x = 4.2
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