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Simplifying 5(4x + -5) + 7x = 6x + -1(-7 + 9x) + -12 Reorder the terms: 5(-5 + 4x) + 7x = 6x + -1(-7 + 9x) + -12 (-5 * 5 + 4x * 5) + 7x = 6x + -1(-7 + 9x) + -12 (-25 + 20x) + 7x = 6x + -1(-7 + 9x) + -12 Combine like terms: 20x + 7x = 27x -25 + 27x = 6x + -1(-7 + 9x) + -12 -25 + 27x = 6x + (-7 * -1 + 9x * -1) + -12 -25 + 27x = 6x + (7 + -9x) + -12 Reorder the terms: -25 + 27x = 7 + -12 + 6x + -9x Combine like terms: 7 + -12 = -5 -25 + 27x = -5 + 6x + -9x Combine like terms: 6x + -9x = -3x -25 + 27x = -5 + -3x Solving -25 + 27x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -25 + 27x + 3x = -5 + -3x + 3x Combine like terms: 27x + 3x = 30x -25 + 30x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -25 + 30x = -5 + 0 -25 + 30x = -5 Add '25' to each side of the equation. -25 + 25 + 30x = -5 + 25 Combine like terms: -25 + 25 = 0 0 + 30x = -5 + 25 30x = -5 + 25 Combine like terms: -5 + 25 = 20 30x = 20 Divide each side by '30'. x = 0.6666666667 Simplifying x = 0.6666666667
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