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Simplifying 5(x + -6) + -7(x + 6) = -4(x + 14) Reorder the terms: 5(-6 + x) + -7(x + 6) = -4(x + 14) (-6 * 5 + x * 5) + -7(x + 6) = -4(x + 14) (-30 + 5x) + -7(x + 6) = -4(x + 14) Reorder the terms: -30 + 5x + -7(6 + x) = -4(x + 14) -30 + 5x + (6 * -7 + x * -7) = -4(x + 14) -30 + 5x + (-42 + -7x) = -4(x + 14) Reorder the terms: -30 + -42 + 5x + -7x = -4(x + 14) Combine like terms: -30 + -42 = -72 -72 + 5x + -7x = -4(x + 14) Combine like terms: 5x + -7x = -2x -72 + -2x = -4(x + 14) Reorder the terms: -72 + -2x = -4(14 + x) -72 + -2x = (14 * -4 + x * -4) -72 + -2x = (-56 + -4x) Solving -72 + -2x = -56 + -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. -72 + -2x + 4x = -56 + -4x + 4x Combine like terms: -2x + 4x = 2x -72 + 2x = -56 + -4x + 4x Combine like terms: -4x + 4x = 0 -72 + 2x = -56 + 0 -72 + 2x = -56 Add '72' to each side of the equation. -72 + 72 + 2x = -56 + 72 Combine like terms: -72 + 72 = 0 0 + 2x = -56 + 72 2x = -56 + 72 Combine like terms: -56 + 72 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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