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Simplifying 5x + 7(x + -2) = 3 + -4(x + 6) Reorder the terms: 5x + 7(-2 + x) = 3 + -4(x + 6) 5x + (-2 * 7 + x * 7) = 3 + -4(x + 6) 5x + (-14 + 7x) = 3 + -4(x + 6) Reorder the terms: -14 + 5x + 7x = 3 + -4(x + 6) Combine like terms: 5x + 7x = 12x -14 + 12x = 3 + -4(x + 6) Reorder the terms: -14 + 12x = 3 + -4(6 + x) -14 + 12x = 3 + (6 * -4 + x * -4) -14 + 12x = 3 + (-24 + -4x) Combine like terms: 3 + -24 = -21 -14 + 12x = -21 + -4x Solving -14 + 12x = -21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -14 + 12x + 4x = -21 + -4x + 4x Combine like terms: 12x + 4x = 16x -14 + 16x = -21 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 16x = -21 + 0 -14 + 16x = -21 Add '14' to each side of the equation. -14 + 14 + 16x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = -21 + 14 16x = -21 + 14 Combine like terms: -21 + 14 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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