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Simplifying 7(2x + -7) + 2 = 3x + -4 Reorder the terms: 7(-7 + 2x) + 2 = 3x + -4 (-7 * 7 + 2x * 7) + 2 = 3x + -4 (-49 + 14x) + 2 = 3x + -4 Reorder the terms: -49 + 2 + 14x = 3x + -4 Combine like terms: -49 + 2 = -47 -47 + 14x = 3x + -4 Reorder the terms: -47 + 14x = -4 + 3x Solving -47 + 14x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -47 + 14x + -3x = -4 + 3x + -3x Combine like terms: 14x + -3x = 11x -47 + 11x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + 11x = -4 + 0 -47 + 11x = -4 Add '47' to each side of the equation. -47 + 47 + 11x = -4 + 47 Combine like terms: -47 + 47 = 0 0 + 11x = -4 + 47 11x = -4 + 47 Combine like terms: -4 + 47 = 43 11x = 43 Divide each side by '11'. x = 3.909090909 Simplifying x = 3.909090909
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