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Simplifying 7(x + 2) = 2(3x + -5) Reorder the terms: 7(2 + x) = 2(3x + -5) (2 * 7 + x * 7) = 2(3x + -5) (14 + 7x) = 2(3x + -5) Reorder the terms: 14 + 7x = 2(-5 + 3x) 14 + 7x = (-5 * 2 + 3x * 2) 14 + 7x = (-10 + 6x) Solving 14 + 7x = -10 + 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 + 7x + -6x = -10 + 6x + -6x Combine like terms: 7x + -6x = 1x 14 + 1x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + 1x = -10 + 0 14 + 1x = -10 Add '-14' to each side of the equation. 14 + -14 + 1x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -10 + -14 1x = -10 + -14 Combine like terms: -10 + -14 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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