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Simplifying 6 = 5(x + -2) + -7x Reorder the terms: 6 = 5(-2 + x) + -7x 6 = (-2 * 5 + x * 5) + -7x 6 = (-10 + 5x) + -7x Combine like terms: 5x + -7x = -2x 6 = -10 + -2x Solving 6 = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 2x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 2x = -10 + 0 6 + 2x = -10 Add '-6' to each side of the equation. 6 + -6 + 2x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -10 + -6 2x = -10 + -6 Combine like terms: -10 + -6 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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