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Simplifying 3(x + -5) + 4(x + 2) = 7 Reorder the terms: 3(-5 + x) + 4(x + 2) = 7 (-5 * 3 + x * 3) + 4(x + 2) = 7 (-15 + 3x) + 4(x + 2) = 7 Reorder the terms: -15 + 3x + 4(2 + x) = 7 -15 + 3x + (2 * 4 + x * 4) = 7 -15 + 3x + (8 + 4x) = 7 Reorder the terms: -15 + 8 + 3x + 4x = 7 Combine like terms: -15 + 8 = -7 -7 + 3x + 4x = 7 Combine like terms: 3x + 4x = 7x -7 + 7x = 7 Solving -7 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 7 + 7 7x = 7 + 7 Combine like terms: 7 + 7 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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