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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 = -1 -15 + -6x = -1 + -21x Solving -15 + -6x = -1 + -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. -15 + -6x + 21x = -1 + -21x + 21x Combine like terms: -6x + 21x = 15x -15 + 15x = -1 + -21x + 21x Combine like terms: -21x + 21x = 0 -15 + 15x = -1 + 0 -15 + 15x = -1 Add '15' to each side of the equation. -15 + 15 + 15x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = -1 + 15 15x = -1 + 15 Combine like terms: -1 + 15 = 14 15x = 14 Divide each side by '15'. x = 0.9333333333 Simplifying x = 0.9333333333
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