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Simplifying 3(x + -2) + -5(x + -1) = -7 Reorder the terms: 3(-2 + x) + -5(x + -1) = -7 (-2 * 3 + x * 3) + -5(x + -1) = -7 (-6 + 3x) + -5(x + -1) = -7 Reorder the terms: -6 + 3x + -5(-1 + x) = -7 -6 + 3x + (-1 * -5 + x * -5) = -7 -6 + 3x + (5 + -5x) = -7 Reorder the terms: -6 + 5 + 3x + -5x = -7 Combine like terms: -6 + 5 = -1 -1 + 3x + -5x = -7 Combine like terms: 3x + -5x = -2x -1 + -2x = -7 Solving -1 + -2x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -7 + 1 -2x = -7 + 1 Combine like terms: -7 + 1 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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