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Simplifying 4(x + 6) + 8(3x + -8) = 44 Reorder the terms: 4(6 + x) + 8(3x + -8) = 44 (6 * 4 + x * 4) + 8(3x + -8) = 44 (24 + 4x) + 8(3x + -8) = 44 Reorder the terms: 24 + 4x + 8(-8 + 3x) = 44 24 + 4x + (-8 * 8 + 3x * 8) = 44 24 + 4x + (-64 + 24x) = 44 Reorder the terms: 24 + -64 + 4x + 24x = 44 Combine like terms: 24 + -64 = -40 -40 + 4x + 24x = 44 Combine like terms: 4x + 24x = 28x -40 + 28x = 44 Solving -40 + 28x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 28x = 44 + 40 Combine like terms: -40 + 40 = 0 0 + 28x = 44 + 40 28x = 44 + 40 Combine like terms: 44 + 40 = 84 28x = 84 Divide each side by '28'. x = 3 Simplifying x = 3
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