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Simplifying 7(x + -3) + -5(2x + -4) = 5 Reorder the terms: 7(-3 + x) + -5(2x + -4) = 5 (-3 * 7 + x * 7) + -5(2x + -4) = 5 (-21 + 7x) + -5(2x + -4) = 5 Reorder the terms: -21 + 7x + -5(-4 + 2x) = 5 -21 + 7x + (-4 * -5 + 2x * -5) = 5 -21 + 7x + (20 + -10x) = 5 Reorder the terms: -21 + 20 + 7x + -10x = 5 Combine like terms: -21 + 20 = -1 -1 + 7x + -10x = 5 Combine like terms: 7x + -10x = -3x -1 + -3x = 5 Solving -1 + -3x = 5 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 + -3x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 5 + 1 -3x = 5 + 1 Combine like terms: 5 + 1 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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