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Simplifying 4(2x + -4) + -1(2x + 8) = 100 Reorder the terms: 4(-4 + 2x) + -1(2x + 8) = 100 (-4 * 4 + 2x * 4) + -1(2x + 8) = 100 (-16 + 8x) + -1(2x + 8) = 100 Reorder the terms: -16 + 8x + -1(8 + 2x) = 100 -16 + 8x + (8 * -1 + 2x * -1) = 100 -16 + 8x + (-8 + -2x) = 100 Reorder the terms: -16 + -8 + 8x + -2x = 100 Combine like terms: -16 + -8 = -24 -24 + 8x + -2x = 100 Combine like terms: 8x + -2x = 6x -24 + 6x = 100 Solving -24 + 6x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6x = 100 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 100 + 24 6x = 100 + 24 Combine like terms: 100 + 24 = 124 6x = 124 Divide each side by '6'. x = 20.66666667 Simplifying x = 20.66666667
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