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Simplifying 9(7x + -6) = 5 + -8(3 + -7x) Reorder the terms: 9(-6 + 7x) = 5 + -8(3 + -7x) (-6 * 9 + 7x * 9) = 5 + -8(3 + -7x) (-54 + 63x) = 5 + -8(3 + -7x) -54 + 63x = 5 + (3 * -8 + -7x * -8) -54 + 63x = 5 + (-24 + 56x) Combine like terms: 5 + -24 = -19 -54 + 63x = -19 + 56x Solving -54 + 63x = -19 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -54 + 63x + -56x = -19 + 56x + -56x Combine like terms: 63x + -56x = 7x -54 + 7x = -19 + 56x + -56x Combine like terms: 56x + -56x = 0 -54 + 7x = -19 + 0 -54 + 7x = -19 Add '54' to each side of the equation. -54 + 54 + 7x = -19 + 54 Combine like terms: -54 + 54 = 0 0 + 7x = -19 + 54 7x = -19 + 54 Combine like terms: -19 + 54 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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