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Simplifying 7 + -2[3x + -1(7x + -9)] = 0 Reorder the terms: 7 + -2[3x + -1(-9 + 7x)] = 0 7 + -2[3x + (-9 * -1 + 7x * -1)] = 0 7 + -2[3x + (9 + -7x)] = 0 Reorder the terms: 7 + -2[9 + 3x + -7x] = 0 Combine like terms: 3x + -7x = -4x 7 + -2[9 + -4x] = 0 7 + [9 * -2 + -4x * -2] = 0 7 + [-18 + 8x] = 0 Combine like terms: 7 + -18 = -11 -11 + 8x = 0 Solving -11 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 0 + 11 8x = 0 + 11 Combine like terms: 0 + 11 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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