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Simplifying -5(6x + 1) + -4x = 5x + 16 Reorder the terms: -5(1 + 6x) + -4x = 5x + 16 (1 * -5 + 6x * -5) + -4x = 5x + 16 (-5 + -30x) + -4x = 5x + 16 Combine like terms: -30x + -4x = -34x -5 + -34x = 5x + 16 Reorder the terms: -5 + -34x = 16 + 5x Solving -5 + -34x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -34x + -5x = 16 + 5x + -5x Combine like terms: -34x + -5x = -39x -5 + -39x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -39x = 16 + 0 -5 + -39x = 16 Add '5' to each side of the equation. -5 + 5 + -39x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -39x = 16 + 5 -39x = 16 + 5 Combine like terms: 16 + 5 = 21 -39x = 21 Divide each side by '-39'. x = -0.5384615385 Simplifying x = -0.5384615385
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