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Simplifying 5x + -3[7 + -1(1 + -2x)] = 0 5x + -3[7 + (1 * -1 + -2x * -1)] = 0 5x + -3[7 + (-1 + 2x)] = 0 Combine like terms: 7 + -1 = 6 5x + -3[6 + 2x] = 0 5x + [6 * -3 + 2x * -3] = 0 5x + [-18 + -6x] = 0 Reorder the terms: -18 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x -18 + -1x = 0 Solving -18 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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