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Simplifying 2(3x + -7) = 5(x + 6) Reorder the terms: 2(-7 + 3x) = 5(x + 6) (-7 * 2 + 3x * 2) = 5(x + 6) (-14 + 6x) = 5(x + 6) Reorder the terms: -14 + 6x = 5(6 + x) -14 + 6x = (6 * 5 + x * 5) -14 + 6x = (30 + 5x) Solving -14 + 6x = 30 + 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. -14 + 6x + -5x = 30 + 5x + -5x Combine like terms: 6x + -5x = 1x -14 + 1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 1x = 30 + 0 -14 + 1x = 30 Add '14' to each side of the equation. -14 + 14 + 1x = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 30 + 14 1x = 30 + 14 Combine like terms: 30 + 14 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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