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Simplifying 5(x + -6) + -7(x + 2) = -4(x + 8) Reorder the terms: 5(-6 + x) + -7(x + 2) = -4(x + 8) (-6 * 5 + x * 5) + -7(x + 2) = -4(x + 8) (-30 + 5x) + -7(x + 2) = -4(x + 8) Reorder the terms: -30 + 5x + -7(2 + x) = -4(x + 8) -30 + 5x + (2 * -7 + x * -7) = -4(x + 8) -30 + 5x + (-14 + -7x) = -4(x + 8) Reorder the terms: -30 + -14 + 5x + -7x = -4(x + 8) Combine like terms: -30 + -14 = -44 -44 + 5x + -7x = -4(x + 8) Combine like terms: 5x + -7x = -2x -44 + -2x = -4(x + 8) Reorder the terms: -44 + -2x = -4(8 + x) -44 + -2x = (8 * -4 + x * -4) -44 + -2x = (-32 + -4x) Solving -44 + -2x = -32 + -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. -44 + -2x + 4x = -32 + -4x + 4x Combine like terms: -2x + 4x = 2x -44 + 2x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -44 + 2x = -32 + 0 -44 + 2x = -32 Add '44' to each side of the equation. -44 + 44 + 2x = -32 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = -32 + 44 2x = -32 + 44 Combine like terms: -32 + 44 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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