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Simplifying 5(7x + -10) = -6(-3x + 8) Reorder the terms: 5(-10 + 7x) = -6(-3x + 8) (-10 * 5 + 7x * 5) = -6(-3x + 8) (-50 + 35x) = -6(-3x + 8) Reorder the terms: -50 + 35x = -6(8 + -3x) -50 + 35x = (8 * -6 + -3x * -6) -50 + 35x = (-48 + 18x) Solving -50 + 35x = -48 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -50 + 35x + -18x = -48 + 18x + -18x Combine like terms: 35x + -18x = 17x -50 + 17x = -48 + 18x + -18x Combine like terms: 18x + -18x = 0 -50 + 17x = -48 + 0 -50 + 17x = -48 Add '50' to each side of the equation. -50 + 50 + 17x = -48 + 50 Combine like terms: -50 + 50 = 0 0 + 17x = -48 + 50 17x = -48 + 50 Combine like terms: -48 + 50 = 2 17x = 2 Divide each side by '17'. x = 0.1176470588 Simplifying x = 0.1176470588
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