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Simplifying 14(x + 3) = 2 + -2x Reorder the terms: 14(3 + x) = 2 + -2x (3 * 14 + x * 14) = 2 + -2x (42 + 14x) = 2 + -2x Solving 42 + 14x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 42 + 14x + 2x = 2 + -2x + 2x Combine like terms: 14x + 2x = 16x 42 + 16x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 16x = 2 + 0 42 + 16x = 2 Add '-42' to each side of the equation. 42 + -42 + 16x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 16x = 2 + -42 16x = 2 + -42 Combine like terms: 2 + -42 = -40 16x = -40 Divide each side by '16'. x = -2.5 Simplifying x = -2.5
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