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Simplifying 2(7x + 4) = 4x + -1(2 + -1x) + 7 Reorder the terms: 2(4 + 7x) = 4x + -1(2 + -1x) + 7 (4 * 2 + 7x * 2) = 4x + -1(2 + -1x) + 7 (8 + 14x) = 4x + -1(2 + -1x) + 7 8 + 14x = 4x + (2 * -1 + -1x * -1) + 7 8 + 14x = 4x + (-2 + 1x) + 7 Reorder the terms: 8 + 14x = -2 + 7 + 4x + 1x Combine like terms: -2 + 7 = 5 8 + 14x = 5 + 4x + 1x Combine like terms: 4x + 1x = 5x 8 + 14x = 5 + 5x Solving 8 + 14x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 14x + -5x = 5 + 5x + -5x Combine like terms: 14x + -5x = 9x 8 + 9x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 9x = 5 + 0 8 + 9x = 5 Add '-8' to each side of the equation. 8 + -8 + 9x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 5 + -8 9x = 5 + -8 Combine like terms: 5 + -8 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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