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Simplifying 7(2x + 7) + -4(3 + -4x) = 7 Reorder the terms: 7(7 + 2x) + -4(3 + -4x) = 7 (7 * 7 + 2x * 7) + -4(3 + -4x) = 7 (49 + 14x) + -4(3 + -4x) = 7 49 + 14x + (3 * -4 + -4x * -4) = 7 49 + 14x + (-12 + 16x) = 7 Reorder the terms: 49 + -12 + 14x + 16x = 7 Combine like terms: 49 + -12 = 37 37 + 14x + 16x = 7 Combine like terms: 14x + 16x = 30x 37 + 30x = 7 Solving 37 + 30x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 30x = 7 + -37 Combine like terms: 37 + -37 = 0 0 + 30x = 7 + -37 30x = 7 + -37 Combine like terms: 7 + -37 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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