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Simplifying 2(3x + -1) = 7(2x + 2) Reorder the terms: 2(-1 + 3x) = 7(2x + 2) (-1 * 2 + 3x * 2) = 7(2x + 2) (-2 + 6x) = 7(2x + 2) Reorder the terms: -2 + 6x = 7(2 + 2x) -2 + 6x = (2 * 7 + 2x * 7) -2 + 6x = (14 + 14x) Solving -2 + 6x = 14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -2 + 6x + -14x = 14 + 14x + -14x Combine like terms: 6x + -14x = -8x -2 + -8x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -8x = 14 + 0 -2 + -8x = 14 Add '2' to each side of the equation. -2 + 2 + -8x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 14 + 2 -8x = 14 + 2 Combine like terms: 14 + 2 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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