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Simplifying 3(2x + -5) + -4(2x + -1) = -9 Reorder the terms: 3(-5 + 2x) + -4(2x + -1) = -9 (-5 * 3 + 2x * 3) + -4(2x + -1) = -9 (-15 + 6x) + -4(2x + -1) = -9 Reorder the terms: -15 + 6x + -4(-1 + 2x) = -9 -15 + 6x + (-1 * -4 + 2x * -4) = -9 -15 + 6x + (4 + -8x) = -9 Reorder the terms: -15 + 4 + 6x + -8x = -9 Combine like terms: -15 + 4 = -11 -11 + 6x + -8x = -9 Combine like terms: 6x + -8x = -2x -11 + -2x = -9 Solving -11 + -2x = -9 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 + -2x = -9 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -9 + 11 -2x = -9 + 11 Combine like terms: -9 + 11 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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