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Simplifying 2(x + -5) + 3(x + 4) = 7 Reorder the terms: 2(-5 + x) + 3(x + 4) = 7 (-5 * 2 + x * 2) + 3(x + 4) = 7 (-10 + 2x) + 3(x + 4) = 7 Reorder the terms: -10 + 2x + 3(4 + x) = 7 -10 + 2x + (4 * 3 + x * 3) = 7 -10 + 2x + (12 + 3x) = 7 Reorder the terms: -10 + 12 + 2x + 3x = 7 Combine like terms: -10 + 12 = 2 2 + 2x + 3x = 7 Combine like terms: 2x + 3x = 5x 2 + 5x = 7 Solving 2 + 5x = 7 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 + 5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 7 + -2 5x = 7 + -2 Combine like terms: 7 + -2 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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