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Simplifying -44 = -8(-6 + -3x) + 5(2x + 2) -44 = (-6 * -8 + -3x * -8) + 5(2x + 2) -44 = (48 + 24x) + 5(2x + 2) Reorder the terms: -44 = 48 + 24x + 5(2 + 2x) -44 = 48 + 24x + (2 * 5 + 2x * 5) -44 = 48 + 24x + (10 + 10x) Reorder the terms: -44 = 48 + 10 + 24x + 10x Combine like terms: 48 + 10 = 58 -44 = 58 + 24x + 10x Combine like terms: 24x + 10x = 34x -44 = 58 + 34x Solving -44 = 58 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -44 + -34x = 58 + 34x + -34x Combine like terms: 34x + -34x = 0 -44 + -34x = 58 + 0 -44 + -34x = 58 Add '44' to each side of the equation. -44 + 44 + -34x = 58 + 44 Combine like terms: -44 + 44 = 0 0 + -34x = 58 + 44 -34x = 58 + 44 Combine like terms: 58 + 44 = 102 -34x = 102 Divide each side by '-34'. x = -3 Simplifying x = -3
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