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Simplifying 6(2x + 7) = 6(x + -4) Reorder the terms: 6(7 + 2x) = 6(x + -4) (7 * 6 + 2x * 6) = 6(x + -4) (42 + 12x) = 6(x + -4) Reorder the terms: 42 + 12x = 6(-4 + x) 42 + 12x = (-4 * 6 + x * 6) 42 + 12x = (-24 + 6x) Solving 42 + 12x = -24 + 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. 42 + 12x + -6x = -24 + 6x + -6x Combine like terms: 12x + -6x = 6x 42 + 6x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + 6x = -24 + 0 42 + 6x = -24 Add '-42' to each side of the equation. 42 + -42 + 6x = -24 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = -24 + -42 6x = -24 + -42 Combine like terms: -24 + -42 = -66 6x = -66 Divide each side by '6'. x = -11 Simplifying x = -11
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