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Simplifying 2x + -2 + 2(7x + 2) = -2(x + 3) Reorder the terms: 2x + -2 + 2(2 + 7x) = -2(x + 3) 2x + -2 + (2 * 2 + 7x * 2) = -2(x + 3) 2x + -2 + (4 + 14x) = -2(x + 3) Reorder the terms: -2 + 4 + 2x + 14x = -2(x + 3) Combine like terms: -2 + 4 = 2 2 + 2x + 14x = -2(x + 3) Combine like terms: 2x + 14x = 16x 2 + 16x = -2(x + 3) Reorder the terms: 2 + 16x = -2(3 + x) 2 + 16x = (3 * -2 + x * -2) 2 + 16x = (-6 + -2x) Solving 2 + 16x = -6 + -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. 2 + 16x + 2x = -6 + -2x + 2x Combine like terms: 16x + 2x = 18x 2 + 18x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 18x = -6 + 0 2 + 18x = -6 Add '-2' to each side of the equation. 2 + -2 + 18x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 18x = -6 + -2 18x = -6 + -2 Combine like terms: -6 + -2 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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