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Simplifying 5(x + -2) + -7(x + 4) = -4(x + 16) Reorder the terms: 5(-2 + x) + -7(x + 4) = -4(x + 16) (-2 * 5 + x * 5) + -7(x + 4) = -4(x + 16) (-10 + 5x) + -7(x + 4) = -4(x + 16) Reorder the terms: -10 + 5x + -7(4 + x) = -4(x + 16) -10 + 5x + (4 * -7 + x * -7) = -4(x + 16) -10 + 5x + (-28 + -7x) = -4(x + 16) Reorder the terms: -10 + -28 + 5x + -7x = -4(x + 16) Combine like terms: -10 + -28 = -38 -38 + 5x + -7x = -4(x + 16) Combine like terms: 5x + -7x = -2x -38 + -2x = -4(x + 16) Reorder the terms: -38 + -2x = -4(16 + x) -38 + -2x = (16 * -4 + x * -4) -38 + -2x = (-64 + -4x) Solving -38 + -2x = -64 + -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. -38 + -2x + 4x = -64 + -4x + 4x Combine like terms: -2x + 4x = 2x -38 + 2x = -64 + -4x + 4x Combine like terms: -4x + 4x = 0 -38 + 2x = -64 + 0 -38 + 2x = -64 Add '38' to each side of the equation. -38 + 38 + 2x = -64 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -64 + 38 2x = -64 + 38 Combine like terms: -64 + 38 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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