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Simplifying -15 + -6x = -7(1 + -3x) + -8 -15 + -6x = (1 * -7 + -3x * -7) + -8 -15 + -6x = (-7 + 21x) + -8 Reorder the terms: -15 + -6x = -7 + -8 + 21x Combine like terms: -7 + -8 = -15 -15 + -6x = -15 + 21x Add '15' to each side of the equation. -15 + 15 + -6x = -15 + 15 + 21x Combine like terms: -15 + 15 = 0 0 + -6x = -15 + 15 + 21x -6x = -15 + 15 + 21x Combine like terms: -15 + 15 = 0 -6x = 0 + 21x -6x = 21x Solving -6x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -6x + -21x = 21x + -21x Combine like terms: -6x + -21x = -27x -27x = 21x + -21x Combine like terms: 21x + -21x = 0 -27x = 0 Divide each side by '-27'. x = 0 Simplifying x = 0
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