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Simplifying 6(x + 7) = -4(2x + 8) Reorder the terms: 6(7 + x) = -4(2x + 8) (7 * 6 + x * 6) = -4(2x + 8) (42 + 6x) = -4(2x + 8) Reorder the terms: 42 + 6x = -4(8 + 2x) 42 + 6x = (8 * -4 + 2x * -4) 42 + 6x = (-32 + -8x) Solving 42 + 6x = -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 + 6x + 8x = -32 + -8x + 8x Combine like terms: 6x + 8x = 14x 42 + 14x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 14x = -32 + 0 42 + 14x = -32 Add '-42' to each side of the equation. 42 + -42 + 14x = -32 + -42 Combine like terms: 42 + -42 = 0 0 + 14x = -32 + -42 14x = -32 + -42 Combine like terms: -32 + -42 = -74 14x = -74 Divide each side by '14'. x = -5.285714286 Simplifying x = -5.285714286
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