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Simplifying 4x + -7(1 + -10x) = -7(1 + -4x) 4x + (1 * -7 + -10x * -7) = -7(1 + -4x) 4x + (-7 + 70x) = -7(1 + -4x) Reorder the terms: -7 + 4x + 70x = -7(1 + -4x) Combine like terms: 4x + 70x = 74x -7 + 74x = -7(1 + -4x) -7 + 74x = (1 * -7 + -4x * -7) -7 + 74x = (-7 + 28x) Add '7' to each side of the equation. -7 + 7 + 74x = -7 + 7 + 28x Combine like terms: -7 + 7 = 0 0 + 74x = -7 + 7 + 28x 74x = -7 + 7 + 28x Combine like terms: -7 + 7 = 0 74x = 0 + 28x 74x = 28x Solving 74x = 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. 74x + -28x = 28x + -28x Combine like terms: 74x + -28x = 46x 46x = 28x + -28x Combine like terms: 28x + -28x = 0 46x = 0 Divide each side by '46'. x = 0 Simplifying x = 0
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