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Simplifying 5x + -2(3x + 1) = 3 + -7x + 31 Reorder the terms: 5x + -2(1 + 3x) = 3 + -7x + 31 5x + (1 * -2 + 3x * -2) = 3 + -7x + 31 5x + (-2 + -6x) = 3 + -7x + 31 Reorder the terms: -2 + 5x + -6x = 3 + -7x + 31 Combine like terms: 5x + -6x = -1x -2 + -1x = 3 + -7x + 31 Reorder the terms: -2 + -1x = 3 + 31 + -7x Combine like terms: 3 + 31 = 34 -2 + -1x = 34 + -7x Solving -2 + -1x = 34 + -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 + -1x + 7x = 34 + -7x + 7x Combine like terms: -1x + 7x = 6x -2 + 6x = 34 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 6x = 34 + 0 -2 + 6x = 34 Add '2' to each side of the equation. -2 + 2 + 6x = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 34 + 2 6x = 34 + 2 Combine like terms: 34 + 2 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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