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Simplifying -7(x + 6) = -8(x + -6) Reorder the terms: -7(6 + x) = -8(x + -6) (6 * -7 + x * -7) = -8(x + -6) (-42 + -7x) = -8(x + -6) Reorder the terms: -42 + -7x = -8(-6 + x) -42 + -7x = (-6 * -8 + x * -8) -42 + -7x = (48 + -8x) Solving -42 + -7x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -42 + -7x + 8x = 48 + -8x + 8x Combine like terms: -7x + 8x = 1x -42 + 1x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 -42 + 1x = 48 + 0 -42 + 1x = 48 Add '42' to each side of the equation. -42 + 42 + 1x = 48 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = 48 + 42 1x = 48 + 42 Combine like terms: 48 + 42 = 90 1x = 90 Divide each side by '1'. x = 90 Simplifying x = 90
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