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Simplifying 3x + 44 = 2(4x + -1) + -9 Reorder the terms: 44 + 3x = 2(4x + -1) + -9 Reorder the terms: 44 + 3x = 2(-1 + 4x) + -9 44 + 3x = (-1 * 2 + 4x * 2) + -9 44 + 3x = (-2 + 8x) + -9 Reorder the terms: 44 + 3x = -2 + -9 + 8x Combine like terms: -2 + -9 = -11 44 + 3x = -11 + 8x Solving 44 + 3x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 44 + 3x + -8x = -11 + 8x + -8x Combine like terms: 3x + -8x = -5x 44 + -5x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 44 + -5x = -11 + 0 44 + -5x = -11 Add '-44' to each side of the equation. 44 + -44 + -5x = -11 + -44 Combine like terms: 44 + -44 = 0 0 + -5x = -11 + -44 -5x = -11 + -44 Combine like terms: -11 + -44 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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