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Simplifying 2 + 2(-3x + -7) = 7(4x + -7) + 5 Reorder the terms: 2 + 2(-7 + -3x) = 7(4x + -7) + 5 2 + (-7 * 2 + -3x * 2) = 7(4x + -7) + 5 2 + (-14 + -6x) = 7(4x + -7) + 5 Combine like terms: 2 + -14 = -12 -12 + -6x = 7(4x + -7) + 5 Reorder the terms: -12 + -6x = 7(-7 + 4x) + 5 -12 + -6x = (-7 * 7 + 4x * 7) + 5 -12 + -6x = (-49 + 28x) + 5 Reorder the terms: -12 + -6x = -49 + 5 + 28x Combine like terms: -49 + 5 = -44 -12 + -6x = -44 + 28x Solving -12 + -6x = -44 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -12 + -6x + -28x = -44 + 28x + -28x Combine like terms: -6x + -28x = -34x -12 + -34x = -44 + 28x + -28x Combine like terms: 28x + -28x = 0 -12 + -34x = -44 + 0 -12 + -34x = -44 Add '12' to each side of the equation. -12 + 12 + -34x = -44 + 12 Combine like terms: -12 + 12 = 0 0 + -34x = -44 + 12 -34x = -44 + 12 Combine like terms: -44 + 12 = -32 -34x = -32 Divide each side by '-34'. x = 0.9411764706 Simplifying x = 0.9411764706
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