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Simplifying 7(x + -4) + -3 = -5(-6x + 5) + -9x Reorder the terms: 7(-4 + x) + -3 = -5(-6x + 5) + -9x (-4 * 7 + x * 7) + -3 = -5(-6x + 5) + -9x (-28 + 7x) + -3 = -5(-6x + 5) + -9x Reorder the terms: -28 + -3 + 7x = -5(-6x + 5) + -9x Combine like terms: -28 + -3 = -31 -31 + 7x = -5(-6x + 5) + -9x Reorder the terms: -31 + 7x = -5(5 + -6x) + -9x -31 + 7x = (5 * -5 + -6x * -5) + -9x -31 + 7x = (-25 + 30x) + -9x Combine like terms: 30x + -9x = 21x -31 + 7x = -25 + 21x Solving -31 + 7x = -25 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -31 + 7x + -21x = -25 + 21x + -21x Combine like terms: 7x + -21x = -14x -31 + -14x = -25 + 21x + -21x Combine like terms: 21x + -21x = 0 -31 + -14x = -25 + 0 -31 + -14x = -25 Add '31' to each side of the equation. -31 + 31 + -14x = -25 + 31 Combine like terms: -31 + 31 = 0 0 + -14x = -25 + 31 -14x = -25 + 31 Combine like terms: -25 + 31 = 6 -14x = 6 Divide each side by '-14'. x = -0.4285714286 Simplifying x = -0.4285714286
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