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Simplifying 7(x + 2) + 2 = -5(x + -6) + 2(25 + -3x) Reorder the terms: 7(2 + x) + 2 = -5(x + -6) + 2(25 + -3x) (2 * 7 + x * 7) + 2 = -5(x + -6) + 2(25 + -3x) (14 + 7x) + 2 = -5(x + -6) + 2(25 + -3x) Reorder the terms: 14 + 2 + 7x = -5(x + -6) + 2(25 + -3x) Combine like terms: 14 + 2 = 16 16 + 7x = -5(x + -6) + 2(25 + -3x) Reorder the terms: 16 + 7x = -5(-6 + x) + 2(25 + -3x) 16 + 7x = (-6 * -5 + x * -5) + 2(25 + -3x) 16 + 7x = (30 + -5x) + 2(25 + -3x) 16 + 7x = 30 + -5x + (25 * 2 + -3x * 2) 16 + 7x = 30 + -5x + (50 + -6x) Reorder the terms: 16 + 7x = 30 + 50 + -5x + -6x Combine like terms: 30 + 50 = 80 16 + 7x = 80 + -5x + -6x Combine like terms: -5x + -6x = -11x 16 + 7x = 80 + -11x Solving 16 + 7x = 80 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 16 + 7x + 11x = 80 + -11x + 11x Combine like terms: 7x + 11x = 18x 16 + 18x = 80 + -11x + 11x Combine like terms: -11x + 11x = 0 16 + 18x = 80 + 0 16 + 18x = 80 Add '-16' to each side of the equation. 16 + -16 + 18x = 80 + -16 Combine like terms: 16 + -16 = 0 0 + 18x = 80 + -16 18x = 80 + -16 Combine like terms: 80 + -16 = 64 18x = 64 Divide each side by '18'. x = 3.555555556 Simplifying x = 3.555555556
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