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Simplifying 7(x + -2) + -3(x + -2) = 7 Reorder the terms: 7(-2 + x) + -3(x + -2) = 7 (-2 * 7 + x * 7) + -3(x + -2) = 7 (-14 + 7x) + -3(x + -2) = 7 Reorder the terms: -14 + 7x + -3(-2 + x) = 7 -14 + 7x + (-2 * -3 + x * -3) = 7 -14 + 7x + (6 + -3x) = 7 Reorder the terms: -14 + 6 + 7x + -3x = 7 Combine like terms: -14 + 6 = -8 -8 + 7x + -3x = 7 Combine like terms: 7x + -3x = 4x -8 + 4x = 7 Solving -8 + 4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 7 + 8 4x = 7 + 8 Combine like terms: 7 + 8 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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