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Simplifying 2(3x + 7) = 2(4x + -2) Reorder the terms: 2(7 + 3x) = 2(4x + -2) (7 * 2 + 3x * 2) = 2(4x + -2) (14 + 6x) = 2(4x + -2) Reorder the terms: 14 + 6x = 2(-2 + 4x) 14 + 6x = (-2 * 2 + 4x * 2) 14 + 6x = (-4 + 8x) Solving 14 + 6x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x 14 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -2x = -4 + 0 14 + -2x = -4 Add '-14' to each side of the equation. 14 + -14 + -2x = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -4 + -14 -2x = -4 + -14 Combine like terms: -4 + -14 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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