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Simplifying 4(7x + 3) + -2(6 + -4x) = 100 Reorder the terms: 4(3 + 7x) + -2(6 + -4x) = 100 (3 * 4 + 7x * 4) + -2(6 + -4x) = 100 (12 + 28x) + -2(6 + -4x) = 100 12 + 28x + (6 * -2 + -4x * -2) = 100 12 + 28x + (-12 + 8x) = 100 Reorder the terms: 12 + -12 + 28x + 8x = 100 Combine like terms: 12 + -12 = 0 0 + 28x + 8x = 100 28x + 8x = 100 Combine like terms: 28x + 8x = 36x 36x = 100 Solving 36x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '36'. x = 2.777777778 Simplifying x = 2.777777778
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