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Simplifying 2(3x + -1) + 5 = 5x + -1 + 3 Reorder the terms: 2(-1 + 3x) + 5 = 5x + -1 + 3 (-1 * 2 + 3x * 2) + 5 = 5x + -1 + 3 (-2 + 6x) + 5 = 5x + -1 + 3 Reorder the terms: -2 + 5 + 6x = 5x + -1 + 3 Combine like terms: -2 + 5 = 3 3 + 6x = 5x + -1 + 3 Reorder the terms: 3 + 6x = -1 + 3 + 5x Combine like terms: -1 + 3 = 2 3 + 6x = 2 + 5x Solving 3 + 6x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 6x + -5x = 2 + 5x + -5x Combine like terms: 6x + -5x = 1x 3 + 1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 1x = 2 + 0 3 + 1x = 2 Add '-3' to each side of the equation. 3 + -3 + 1x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 2 + -3 1x = 2 + -3 Combine like terms: 2 + -3 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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