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Simplifying 5(7x + -10) = -6(-6x + -3) Reorder the terms: 5(-10 + 7x) = -6(-6x + -3) (-10 * 5 + 7x * 5) = -6(-6x + -3) (-50 + 35x) = -6(-6x + -3) Reorder the terms: -50 + 35x = -6(-3 + -6x) -50 + 35x = (-3 * -6 + -6x * -6) -50 + 35x = (18 + 36x) Solving -50 + 35x = 18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -50 + 35x + -36x = 18 + 36x + -36x Combine like terms: 35x + -36x = -1x -50 + -1x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 -50 + -1x = 18 + 0 -50 + -1x = 18 Add '50' to each side of the equation. -50 + 50 + -1x = 18 + 50 Combine like terms: -50 + 50 = 0 0 + -1x = 18 + 50 -1x = 18 + 50 Combine like terms: 18 + 50 = 68 -1x = 68 Divide each side by '-1'. x = -68 Simplifying x = -68
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