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Simplifying 3(3 + -2x) + -4(5 + -4x) = 7 (3 * 3 + -2x * 3) + -4(5 + -4x) = 7 (9 + -6x) + -4(5 + -4x) = 7 9 + -6x + (5 * -4 + -4x * -4) = 7 9 + -6x + (-20 + 16x) = 7 Reorder the terms: 9 + -20 + -6x + 16x = 7 Combine like terms: 9 + -20 = -11 -11 + -6x + 16x = 7 Combine like terms: -6x + 16x = 10x -11 + 10x = 7 Solving -11 + 10x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 10x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 10x = 7 + 11 10x = 7 + 11 Combine like terms: 7 + 11 = 18 10x = 18 Divide each side by '10'. x = 1.8 Simplifying x = 1.8
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