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Simplifying 5(3x + -7) + 6 = 31 Reorder the terms: 5(-7 + 3x) + 6 = 31 (-7 * 5 + 3x * 5) + 6 = 31 (-35 + 15x) + 6 = 31 Reorder the terms: -35 + 6 + 15x = 31 Combine like terms: -35 + 6 = -29 -29 + 15x = 31 Solving -29 + 15x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 15x = 31 + 29 Combine like terms: -29 + 29 = 0 0 + 15x = 31 + 29 15x = 31 + 29 Combine like terms: 31 + 29 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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