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Simplifying 7(x + -8) + 5 = 2x + -6 Reorder the terms: 7(-8 + x) + 5 = 2x + -6 (-8 * 7 + x * 7) + 5 = 2x + -6 (-56 + 7x) + 5 = 2x + -6 Reorder the terms: -56 + 5 + 7x = 2x + -6 Combine like terms: -56 + 5 = -51 -51 + 7x = 2x + -6 Reorder the terms: -51 + 7x = -6 + 2x Solving -51 + 7x = -6 + 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. -51 + 7x + -2x = -6 + 2x + -2x Combine like terms: 7x + -2x = 5x -51 + 5x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -51 + 5x = -6 + 0 -51 + 5x = -6 Add '51' to each side of the equation. -51 + 51 + 5x = -6 + 51 Combine like terms: -51 + 51 = 0 0 + 5x = -6 + 51 5x = -6 + 51 Combine like terms: -6 + 51 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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