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Simplifying 5 + -2[3 + -1(4x + 1)] = 7(2x) Reorder the terms: 5 + -2[3 + -1(1 + 4x)] = 7(2x) 5 + -2[3 + (1 * -1 + 4x * -1)] = 7(2x) 5 + -2[3 + (-1 + -4x)] = 7(2x) Combine like terms: 3 + -1 = 2 5 + -2[2 + -4x] = 7(2x) 5 + [2 * -2 + -4x * -2] = 7(2x) 5 + [-4 + 8x] = 7(2x) Combine like terms: 5 + -4 = 1 1 + 8x = 7(2x) Remove parenthesis around (2x) 1 + 8x = 7 * 2x Multiply 7 * 2 1 + 8x = 14x Solving 1 + 8x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 1 + 8x + -14x = 14x + -14x Combine like terms: 8x + -14x = -6x 1 + -6x = 14x + -14x Combine like terms: 14x + -14x = 0 1 + -6x = 0 Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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