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Simplifying 6x + [-15x + -3(x + -1)] = 11 Reorder the terms: 6x + [-15x + -3(-1 + x)] = 11 6x + [-15x + (-1 * -3 + x * -3)] = 11 6x + [-15x + (3 + -3x)] = 11 Reorder the terms: 6x + [3 + -15x + -3x] = 11 Combine like terms: -15x + -3x = -18x 6x + [3 + -18x] = 11 Remove brackets around [3 + -18x] 6x + 3 + -18x = 11 Reorder the terms: 3 + 6x + -18x = 11 Combine like terms: 6x + -18x = -12x 3 + -12x = 11 Solving 3 + -12x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -12x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -12x = 11 + -3 -12x = 11 + -3 Combine like terms: 11 + -3 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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