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Simplifying 7 + -2(1 + -4x) = x + -2 7 + (1 * -2 + -4x * -2) = x + -2 7 + (-2 + 8x) = x + -2 Combine like terms: 7 + -2 = 5 5 + 8x = x + -2 Reorder the terms: 5 + 8x = -2 + x Solving 5 + 8x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 8x + -1x = -2 + x + -1x Combine like terms: 8x + -1x = 7x 5 + 7x = -2 + x + -1x Combine like terms: x + -1x = 0 5 + 7x = -2 + 0 5 + 7x = -2 Add '-5' to each side of the equation. 5 + -5 + 7x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -2 + -5 7x = -2 + -5 Combine like terms: -2 + -5 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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