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Simplifying 5x + -7(3x + 4) = 100 Reorder the terms: 5x + -7(4 + 3x) = 100 5x + (4 * -7 + 3x * -7) = 100 5x + (-28 + -21x) = 100 Reorder the terms: -28 + 5x + -21x = 100 Combine like terms: 5x + -21x = -16x -28 + -16x = 100 Solving -28 + -16x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -16x = 100 + 28 Combine like terms: -28 + 28 = 0 0 + -16x = 100 + 28 -16x = 100 + 28 Combine like terms: 100 + 28 = 128 -16x = 128 Divide each side by '-16'. x = -8 Simplifying x = -8
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