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Simplifying -15 + 2x = -6(x + 5) + -1 Reorder the terms: -15 + 2x = -6(5 + x) + -1 -15 + 2x = (5 * -6 + x * -6) + -1 -15 + 2x = (-30 + -6x) + -1 Reorder the terms: -15 + 2x = -30 + -1 + -6x Combine like terms: -30 + -1 = -31 -15 + 2x = -31 + -6x Solving -15 + 2x = -31 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 2x + 6x = -31 + -6x + 6x Combine like terms: 2x + 6x = 8x -15 + 8x = -31 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 8x = -31 + 0 -15 + 8x = -31 Add '15' to each side of the equation. -15 + 15 + 8x = -31 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -31 + 15 8x = -31 + 15 Combine like terms: -31 + 15 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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