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Simplifying 6(1 + 3x) + -8 = 7x + 31 (1 * 6 + 3x * 6) + -8 = 7x + 31 (6 + 18x) + -8 = 7x + 31 Reorder the terms: 6 + -8 + 18x = 7x + 31 Combine like terms: 6 + -8 = -2 -2 + 18x = 7x + 31 Reorder the terms: -2 + 18x = 31 + 7x Solving -2 + 18x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 18x + -7x = 31 + 7x + -7x Combine like terms: 18x + -7x = 11x -2 + 11x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 11x = 31 + 0 -2 + 11x = 31 Add '2' to each side of the equation. -2 + 2 + 11x = 31 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 31 + 2 11x = 31 + 2 Combine like terms: 31 + 2 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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