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Simplifying 9(x + -4) + -6(x + 5) = 4(5x + -4) Reorder the terms: 9(-4 + x) + -6(x + 5) = 4(5x + -4) (-4 * 9 + x * 9) + -6(x + 5) = 4(5x + -4) (-36 + 9x) + -6(x + 5) = 4(5x + -4) Reorder the terms: -36 + 9x + -6(5 + x) = 4(5x + -4) -36 + 9x + (5 * -6 + x * -6) = 4(5x + -4) -36 + 9x + (-30 + -6x) = 4(5x + -4) Reorder the terms: -36 + -30 + 9x + -6x = 4(5x + -4) Combine like terms: -36 + -30 = -66 -66 + 9x + -6x = 4(5x + -4) Combine like terms: 9x + -6x = 3x -66 + 3x = 4(5x + -4) Reorder the terms: -66 + 3x = 4(-4 + 5x) -66 + 3x = (-4 * 4 + 5x * 4) -66 + 3x = (-16 + 20x) Solving -66 + 3x = -16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -66 + 3x + -20x = -16 + 20x + -20x Combine like terms: 3x + -20x = -17x -66 + -17x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 -66 + -17x = -16 + 0 -66 + -17x = -16 Add '66' to each side of the equation. -66 + 66 + -17x = -16 + 66 Combine like terms: -66 + 66 = 0 0 + -17x = -16 + 66 -17x = -16 + 66 Combine like terms: -16 + 66 = 50 -17x = 50 Divide each side by '-17'. x = -2.941176471 Simplifying x = -2.941176471
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