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Simplifying 3(2x + -1) + 7 = 5x + -6 Reorder the terms: 3(-1 + 2x) + 7 = 5x + -6 (-1 * 3 + 2x * 3) + 7 = 5x + -6 (-3 + 6x) + 7 = 5x + -6 Reorder the terms: -3 + 7 + 6x = 5x + -6 Combine like terms: -3 + 7 = 4 4 + 6x = 5x + -6 Reorder the terms: 4 + 6x = -6 + 5x Solving 4 + 6x = -6 + 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. 4 + 6x + -5x = -6 + 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = -6 + 0 4 + 1x = -6 Add '-4' to each side of the equation. 4 + -4 + 1x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -6 + -4 1x = -6 + -4 Combine like terms: -6 + -4 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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