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Simplifying 3(8x + -6) + 4(4x + 5) = -38 Reorder the terms: 3(-6 + 8x) + 4(4x + 5) = -38 (-6 * 3 + 8x * 3) + 4(4x + 5) = -38 (-18 + 24x) + 4(4x + 5) = -38 Reorder the terms: -18 + 24x + 4(5 + 4x) = -38 -18 + 24x + (5 * 4 + 4x * 4) = -38 -18 + 24x + (20 + 16x) = -38 Reorder the terms: -18 + 20 + 24x + 16x = -38 Combine like terms: -18 + 20 = 2 2 + 24x + 16x = -38 Combine like terms: 24x + 16x = 40x 2 + 40x = -38 Solving 2 + 40x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 40x = -38 + -2 Combine like terms: 2 + -2 = 0 0 + 40x = -38 + -2 40x = -38 + -2 Combine like terms: -38 + -2 = -40 40x = -40 Divide each side by '40'. x = -1 Simplifying x = -1
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