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Simplifying (6x + -3) + -1[5 + (-9x + 3)] = 6x + -1 Reorder the terms: (-3 + 6x) + -1[5 + (-9x + 3)] = 6x + -1 Remove parenthesis around (-3 + 6x) -3 + 6x + -1[5 + (-9x + 3)] = 6x + -1 Reorder the terms: -3 + 6x + -1[5 + (3 + -9x)] = 6x + -1 Remove parenthesis around (3 + -9x) -3 + 6x + -1[5 + 3 + -9x] = 6x + -1 Combine like terms: 5 + 3 = 8 -3 + 6x + -1[8 + -9x] = 6x + -1 -3 + 6x + [8 * -1 + -9x * -1] = 6x + -1 -3 + 6x + [-8 + 9x] = 6x + -1 Reorder the terms: -3 + -8 + 6x + 9x = 6x + -1 Combine like terms: -3 + -8 = -11 -11 + 6x + 9x = 6x + -1 Combine like terms: 6x + 9x = 15x -11 + 15x = 6x + -1 Reorder the terms: -11 + 15x = -1 + 6x Solving -11 + 15x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -11 + 15x + -6x = -1 + 6x + -6x Combine like terms: 15x + -6x = 9x -11 + 9x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + 9x = -1 + 0 -11 + 9x = -1 Add '11' to each side of the equation. -11 + 11 + 9x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + 9x = -1 + 11 9x = -1 + 11 Combine like terms: -1 + 11 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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