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Simplifying 9(7x + -3) = 31 + 8(7x + -2) Reorder the terms: 9(-3 + 7x) = 31 + 8(7x + -2) (-3 * 9 + 7x * 9) = 31 + 8(7x + -2) (-27 + 63x) = 31 + 8(7x + -2) Reorder the terms: -27 + 63x = 31 + 8(-2 + 7x) -27 + 63x = 31 + (-2 * 8 + 7x * 8) -27 + 63x = 31 + (-16 + 56x) Combine like terms: 31 + -16 = 15 -27 + 63x = 15 + 56x Solving -27 + 63x = 15 + 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. -27 + 63x + -56x = 15 + 56x + -56x Combine like terms: 63x + -56x = 7x -27 + 7x = 15 + 56x + -56x Combine like terms: 56x + -56x = 0 -27 + 7x = 15 + 0 -27 + 7x = 15 Add '27' to each side of the equation. -27 + 27 + 7x = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 15 + 27 7x = 15 + 27 Combine like terms: 15 + 27 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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