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Simplifying -3(5x + -1) + -2(1 + 3x) = 1 + -6x + -4x Reorder the terms: -3(-1 + 5x) + -2(1 + 3x) = 1 + -6x + -4x (-1 * -3 + 5x * -3) + -2(1 + 3x) = 1 + -6x + -4x (3 + -15x) + -2(1 + 3x) = 1 + -6x + -4x 3 + -15x + (1 * -2 + 3x * -2) = 1 + -6x + -4x 3 + -15x + (-2 + -6x) = 1 + -6x + -4x Reorder the terms: 3 + -2 + -15x + -6x = 1 + -6x + -4x Combine like terms: 3 + -2 = 1 1 + -15x + -6x = 1 + -6x + -4x Combine like terms: -15x + -6x = -21x 1 + -21x = 1 + -6x + -4x Combine like terms: -6x + -4x = -10x 1 + -21x = 1 + -10x Add '-1' to each side of the equation. 1 + -1 + -21x = 1 + -1 + -10x Combine like terms: 1 + -1 = 0 0 + -21x = 1 + -1 + -10x -21x = 1 + -1 + -10x Combine like terms: 1 + -1 = 0 -21x = 0 + -10x -21x = -10x Solving -21x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -21x + 10x = -10x + 10x Combine like terms: -21x + 10x = -11x -11x = -10x + 10x Combine like terms: -10x + 10x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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