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Simplifying 2(3x + 1) = 5(x + -7) Reorder the terms: 2(1 + 3x) = 5(x + -7) (1 * 2 + 3x * 2) = 5(x + -7) (2 + 6x) = 5(x + -7) Reorder the terms: 2 + 6x = 5(-7 + x) 2 + 6x = (-7 * 5 + x * 5) 2 + 6x = (-35 + 5x) Solving 2 + 6x = -35 + 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. 2 + 6x + -5x = -35 + 5x + -5x Combine like terms: 6x + -5x = 1x 2 + 1x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 1x = -35 + 0 2 + 1x = -35 Add '-2' to each side of the equation. 2 + -2 + 1x = -35 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -35 + -2 1x = -35 + -2 Combine like terms: -35 + -2 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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