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Simplifying 2(3x + -1) + 2(4x + 5) = 2x + 44 Reorder the terms: 2(-1 + 3x) + 2(4x + 5) = 2x + 44 (-1 * 2 + 3x * 2) + 2(4x + 5) = 2x + 44 (-2 + 6x) + 2(4x + 5) = 2x + 44 Reorder the terms: -2 + 6x + 2(5 + 4x) = 2x + 44 -2 + 6x + (5 * 2 + 4x * 2) = 2x + 44 -2 + 6x + (10 + 8x) = 2x + 44 Reorder the terms: -2 + 10 + 6x + 8x = 2x + 44 Combine like terms: -2 + 10 = 8 8 + 6x + 8x = 2x + 44 Combine like terms: 6x + 8x = 14x 8 + 14x = 2x + 44 Reorder the terms: 8 + 14x = 44 + 2x Solving 8 + 14x = 44 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 14x + -2x = 44 + 2x + -2x Combine like terms: 14x + -2x = 12x 8 + 12x = 44 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 12x = 44 + 0 8 + 12x = 44 Add '-8' to each side of the equation. 8 + -8 + 12x = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = 44 + -8 12x = 44 + -8 Combine like terms: 44 + -8 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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