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Simplifying 4(5x + -9) + -4(1 + -1x) = 9(x + -11) + -1 Reorder the terms: 4(-9 + 5x) + -4(1 + -1x) = 9(x + -11) + -1 (-9 * 4 + 5x * 4) + -4(1 + -1x) = 9(x + -11) + -1 (-36 + 20x) + -4(1 + -1x) = 9(x + -11) + -1 -36 + 20x + (1 * -4 + -1x * -4) = 9(x + -11) + -1 -36 + 20x + (-4 + 4x) = 9(x + -11) + -1 Reorder the terms: -36 + -4 + 20x + 4x = 9(x + -11) + -1 Combine like terms: -36 + -4 = -40 -40 + 20x + 4x = 9(x + -11) + -1 Combine like terms: 20x + 4x = 24x -40 + 24x = 9(x + -11) + -1 Reorder the terms: -40 + 24x = 9(-11 + x) + -1 -40 + 24x = (-11 * 9 + x * 9) + -1 -40 + 24x = (-99 + 9x) + -1 Reorder the terms: -40 + 24x = -99 + -1 + 9x Combine like terms: -99 + -1 = -100 -40 + 24x = -100 + 9x Solving -40 + 24x = -100 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -40 + 24x + -9x = -100 + 9x + -9x Combine like terms: 24x + -9x = 15x -40 + 15x = -100 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + 15x = -100 + 0 -40 + 15x = -100 Add '40' to each side of the equation. -40 + 40 + 15x = -100 + 40 Combine like terms: -40 + 40 = 0 0 + 15x = -100 + 40 15x = -100 + 40 Combine like terms: -100 + 40 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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