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Simplifying 5(x + -2) = 78 + -6x Reorder the terms: 5(-2 + x) = 78 + -6x (-2 * 5 + x * 5) = 78 + -6x (-10 + 5x) = 78 + -6x Solving -10 + 5x = 78 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + 5x + 6x = 78 + -6x + 6x Combine like terms: 5x + 6x = 11x -10 + 11x = 78 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 11x = 78 + 0 -10 + 11x = 78 Add '10' to each side of the equation. -10 + 10 + 11x = 78 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 78 + 10 11x = 78 + 10 Combine like terms: 78 + 10 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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