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Simplifying 7(x + 2) = 7(3 + -1x) + -4(x + 2) Reorder the terms: 7(2 + x) = 7(3 + -1x) + -4(x + 2) (2 * 7 + x * 7) = 7(3 + -1x) + -4(x + 2) (14 + 7x) = 7(3 + -1x) + -4(x + 2) 14 + 7x = (3 * 7 + -1x * 7) + -4(x + 2) 14 + 7x = (21 + -7x) + -4(x + 2) Reorder the terms: 14 + 7x = 21 + -7x + -4(2 + x) 14 + 7x = 21 + -7x + (2 * -4 + x * -4) 14 + 7x = 21 + -7x + (-8 + -4x) Reorder the terms: 14 + 7x = 21 + -8 + -7x + -4x Combine like terms: 21 + -8 = 13 14 + 7x = 13 + -7x + -4x Combine like terms: -7x + -4x = -11x 14 + 7x = 13 + -11x Solving 14 + 7x = 13 + -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. 14 + 7x + 11x = 13 + -11x + 11x Combine like terms: 7x + 11x = 18x 14 + 18x = 13 + -11x + 11x Combine like terms: -11x + 11x = 0 14 + 18x = 13 + 0 14 + 18x = 13 Add '-14' to each side of the equation. 14 + -14 + 18x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = 13 + -14 18x = 13 + -14 Combine like terms: 13 + -14 = -1 18x = -1 Divide each side by '18'. x = -0.05555555556 Simplifying x = -0.05555555556
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