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Simplifying 10x + 44 = 2(8x + -23) Reorder the terms: 44 + 10x = 2(8x + -23) Reorder the terms: 44 + 10x = 2(-23 + 8x) 44 + 10x = (-23 * 2 + 8x * 2) 44 + 10x = (-46 + 16x) Solving 44 + 10x = -46 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 44 + 10x + -16x = -46 + 16x + -16x Combine like terms: 10x + -16x = -6x 44 + -6x = -46 + 16x + -16x Combine like terms: 16x + -16x = 0 44 + -6x = -46 + 0 44 + -6x = -46 Add '-44' to each side of the equation. 44 + -44 + -6x = -46 + -44 Combine like terms: 44 + -44 = 0 0 + -6x = -46 + -44 -6x = -46 + -44 Combine like terms: -46 + -44 = -90 -6x = -90 Divide each side by '-6'. x = 15 Simplifying x = 15
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