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Simplifying 7(x + 6) = 8(x + -4) Reorder the terms: 7(6 + x) = 8(x + -4) (6 * 7 + x * 7) = 8(x + -4) (42 + 7x) = 8(x + -4) Reorder the terms: 42 + 7x = 8(-4 + x) 42 + 7x = (-4 * 8 + x * 8) 42 + 7x = (-32 + 8x) Solving 42 + 7x = -32 + 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 = -32 + 8x + -8x Combine like terms: 7x + -8x = -1x 42 + -1x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -1x = -32 + 0 42 + -1x = -32 Add '-42' to each side of the equation. 42 + -42 + -1x = -32 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = -32 + -42 -1x = -32 + -42 Combine like terms: -32 + -42 = -74 -1x = -74 Divide each side by '-1'. x = 74 Simplifying x = 74
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