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Simplifying 2(7x + 4) = 4x + -7(2 + -1x) + 7 Reorder the terms: 2(4 + 7x) = 4x + -7(2 + -1x) + 7 (4 * 2 + 7x * 2) = 4x + -7(2 + -1x) + 7 (8 + 14x) = 4x + -7(2 + -1x) + 7 8 + 14x = 4x + (2 * -7 + -1x * -7) + 7 8 + 14x = 4x + (-14 + 7x) + 7 Reorder the terms: 8 + 14x = -14 + 7 + 4x + 7x Combine like terms: -14 + 7 = -7 8 + 14x = -7 + 4x + 7x Combine like terms: 4x + 7x = 11x 8 + 14x = -7 + 11x Solving 8 + 14x = -7 + 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. 8 + 14x + -11x = -7 + 11x + -11x Combine like terms: 14x + -11x = 3x 8 + 3x = -7 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + 3x = -7 + 0 8 + 3x = -7 Add '-8' to each side of the equation. 8 + -8 + 3x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -7 + -8 3x = -7 + -8 Combine like terms: -7 + -8 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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