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Simplifying 2(7 + -5x) = 3(2x + -6) (7 * 2 + -5x * 2) = 3(2x + -6) (14 + -10x) = 3(2x + -6) Reorder the terms: 14 + -10x = 3(-6 + 2x) 14 + -10x = (-6 * 3 + 2x * 3) 14 + -10x = (-18 + 6x) Solving 14 + -10x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + -10x + -6x = -18 + 6x + -6x Combine like terms: -10x + -6x = -16x 14 + -16x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -16x = -18 + 0 14 + -16x = -18 Add '-14' to each side of the equation. 14 + -14 + -16x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -18 + -14 -16x = -18 + -14 Combine like terms: -18 + -14 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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