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Simplifying -2(4x + 3) + 4(6x + -1) = 64 Reorder the terms: -2(3 + 4x) + 4(6x + -1) = 64 (3 * -2 + 4x * -2) + 4(6x + -1) = 64 (-6 + -8x) + 4(6x + -1) = 64 Reorder the terms: -6 + -8x + 4(-1 + 6x) = 64 -6 + -8x + (-1 * 4 + 6x * 4) = 64 -6 + -8x + (-4 + 24x) = 64 Reorder the terms: -6 + -4 + -8x + 24x = 64 Combine like terms: -6 + -4 = -10 -10 + -8x + 24x = 64 Combine like terms: -8x + 24x = 16x -10 + 16x = 64 Solving -10 + 16x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 16x = 64 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 64 + 10 16x = 64 + 10 Combine like terms: 64 + 10 = 74 16x = 74 Divide each side by '16'. x = 4.625 Simplifying x = 4.625
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