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Simplifying 8(7x + -7) + 5 = 10x + 9 Reorder the terms: 8(-7 + 7x) + 5 = 10x + 9 (-7 * 8 + 7x * 8) + 5 = 10x + 9 (-56 + 56x) + 5 = 10x + 9 Reorder the terms: -56 + 5 + 56x = 10x + 9 Combine like terms: -56 + 5 = -51 -51 + 56x = 10x + 9 Reorder the terms: -51 + 56x = 9 + 10x Solving -51 + 56x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -51 + 56x + -10x = 9 + 10x + -10x Combine like terms: 56x + -10x = 46x -51 + 46x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -51 + 46x = 9 + 0 -51 + 46x = 9 Add '51' to each side of the equation. -51 + 51 + 46x = 9 + 51 Combine like terms: -51 + 51 = 0 0 + 46x = 9 + 51 46x = 9 + 51 Combine like terms: 9 + 51 = 60 46x = 60 Divide each side by '46'. x = 1.304347826 Simplifying x = 1.304347826
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