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