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Simplifying 3(2x + -7) = x + -6 Reorder the terms: 3(-7 + 2x) = x + -6 (-7 * 3 + 2x * 3) = x + -6 (-21 + 6x) = x + -6 Reorder the terms: -21 + 6x = -6 + x Solving -21 + 6x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + 6x + -1x = -6 + x + -1x Combine like terms: 6x + -1x = 5x -21 + 5x = -6 + x + -1x Combine like terms: x + -1x = 0 -21 + 5x = -6 + 0 -21 + 5x = -6 Add '21' to each side of the equation. -21 + 21 + 5x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = -6 + 21 5x = -6 + 21 Combine like terms: -6 + 21 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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