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Simplifying 2(x + -24) + 4(x + -4) = 44 Reorder the terms: 2(-24 + x) + 4(x + -4) = 44 (-24 * 2 + x * 2) + 4(x + -4) = 44 (-48 + 2x) + 4(x + -4) = 44 Reorder the terms: -48 + 2x + 4(-4 + x) = 44 -48 + 2x + (-4 * 4 + x * 4) = 44 -48 + 2x + (-16 + 4x) = 44 Reorder the terms: -48 + -16 + 2x + 4x = 44 Combine like terms: -48 + -16 = -64 -64 + 2x + 4x = 44 Combine like terms: 2x + 4x = 6x -64 + 6x = 44 Solving -64 + 6x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 6x = 44 + 64 Combine like terms: -64 + 64 = 0 0 + 6x = 44 + 64 6x = 44 + 64 Combine like terms: 44 + 64 = 108 6x = 108 Divide each side by '6'. x = 18 Simplifying x = 18
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