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Simplifying 44 = 6(x + -5) + -4(6 + 5x) Reorder the terms: 44 = 6(-5 + x) + -4(6 + 5x) 44 = (-5 * 6 + x * 6) + -4(6 + 5x) 44 = (-30 + 6x) + -4(6 + 5x) 44 = -30 + 6x + (6 * -4 + 5x * -4) 44 = -30 + 6x + (-24 + -20x) Reorder the terms: 44 = -30 + -24 + 6x + -20x Combine like terms: -30 + -24 = -54 44 = -54 + 6x + -20x Combine like terms: 6x + -20x = -14x 44 = -54 + -14x Solving 44 = -54 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 44 + 14x = -54 + -14x + 14x Combine like terms: -14x + 14x = 0 44 + 14x = -54 + 0 44 + 14x = -54 Add '-44' to each side of the equation. 44 + -44 + 14x = -54 + -44 Combine like terms: 44 + -44 = 0 0 + 14x = -54 + -44 14x = -54 + -44 Combine like terms: -54 + -44 = -98 14x = -98 Divide each side by '14'. x = -7 Simplifying x = -7
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