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