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Simplifying -3(3x + 1) = [4x + (6x + -5)] + x + 7 Reorder the terms: -3(1 + 3x) = [4x + (6x + -5)] + x + 7 (1 * -3 + 3x * -3) = [4x + (6x + -5)] + x + 7 (-3 + -9x) = [4x + (6x + -5)] + x + 7 Reorder the terms: -3 + -9x = [4x + (-5 + 6x)] + x + 7 Remove parenthesis around (-5 + 6x) -3 + -9x = [4x + -5 + 6x] + x + 7 Reorder the terms: -3 + -9x = [-5 + 4x + 6x] + x + 7 Combine like terms: 4x + 6x = 10x -3 + -9x = [-5 + 10x] + x + 7 Remove brackets around [-5 + 10x] -3 + -9x = -5 + 10x + x + 7 Reorder the terms: -3 + -9x = -5 + 7 + 10x + x Combine like terms: -5 + 7 = 2 -3 + -9x = 2 + 10x + x Combine like terms: 10x + x = 11x -3 + -9x = 2 + 11x Solving -3 + -9x = 2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -3 + -9x + -11x = 2 + 11x + -11x Combine like terms: -9x + -11x = -20x -3 + -20x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 -3 + -20x = 2 + 0 -3 + -20x = 2 Add '3' to each side of the equation. -3 + 3 + -20x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + -20x = 2 + 3 -20x = 2 + 3 Combine like terms: 2 + 3 = 5 -20x = 5 Divide each side by '-20'. x = -0.25 Simplifying x = -0.25
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