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Simplifying 2(4x + -5) + -2 = 2x + 44 Reorder the terms: 2(-5 + 4x) + -2 = 2x + 44 (-5 * 2 + 4x * 2) + -2 = 2x + 44 (-10 + 8x) + -2 = 2x + 44 Reorder the terms: -10 + -2 + 8x = 2x + 44 Combine like terms: -10 + -2 = -12 -12 + 8x = 2x + 44 Reorder the terms: -12 + 8x = 44 + 2x Solving -12 + 8x = 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. -12 + 8x + -2x = 44 + 2x + -2x Combine like terms: 8x + -2x = 6x -12 + 6x = 44 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 6x = 44 + 0 -12 + 6x = 44 Add '12' to each side of the equation. -12 + 12 + 6x = 44 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 44 + 12 6x = 44 + 12 Combine like terms: 44 + 12 = 56 6x = 56 Divide each side by '6'. x = 9.333333333 Simplifying x = 9.333333333
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