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Simplifying 7(x + -2) + -3(x + -4) = 30 Reorder the terms: 7(-2 + x) + -3(x + -4) = 30 (-2 * 7 + x * 7) + -3(x + -4) = 30 (-14 + 7x) + -3(x + -4) = 30 Reorder the terms: -14 + 7x + -3(-4 + x) = 30 -14 + 7x + (-4 * -3 + x * -3) = 30 -14 + 7x + (12 + -3x) = 30 Reorder the terms: -14 + 12 + 7x + -3x = 30 Combine like terms: -14 + 12 = -2 -2 + 7x + -3x = 30 Combine like terms: 7x + -3x = 4x -2 + 4x = 30 Solving -2 + 4x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 30 + 2 4x = 30 + 2 Combine like terms: 30 + 2 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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