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Simplifying 8.9(x + -4.4) + 3.6 = 9.0(2.4x + -1.6) Reorder the terms: 8.9(-4.4 + x) + 3.6 = 9.0(2.4x + -1.6) (-4.4 * 8.9 + x * 8.9) + 3.6 = 9.0(2.4x + -1.6) (-39.16 + 8.9x) + 3.6 = 9.0(2.4x + -1.6) Reorder the terms: -39.16 + 3.6 + 8.9x = 9.0(2.4x + -1.6) Combine like terms: -39.16 + 3.6 = -35.56 -35.56 + 8.9x = 9.0(2.4x + -1.6) Reorder the terms: -35.56 + 8.9x = 9.0(-1.6 + 2.4x) -35.56 + 8.9x = (-1.6 * 9.0 + 2.4x * 9.0) -35.56 + 8.9x = (-14.4 + 21.6x) Solving -35.56 + 8.9x = -14.4 + 21.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21.6x' to each side of the equation. -35.56 + 8.9x + -21.6x = -14.4 + 21.6x + -21.6x Combine like terms: 8.9x + -21.6x = -12.7x -35.56 + -12.7x = -14.4 + 21.6x + -21.6x Combine like terms: 21.6x + -21.6x = 0.0 -35.56 + -12.7x = -14.4 + 0.0 -35.56 + -12.7x = -14.4 Add '35.56' to each side of the equation. -35.56 + 35.56 + -12.7x = -14.4 + 35.56 Combine like terms: -35.56 + 35.56 = 0.00 0.00 + -12.7x = -14.4 + 35.56 -12.7x = -14.4 + 35.56 Combine like terms: -14.4 + 35.56 = 21.16 -12.7x = 21.16 Divide each side by '-12.7'. x = -1.666141732 Simplifying x = -1.666141732
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