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Simplifying 5(3x + -6) + -4 = 5(x + -5) + 41 Reorder the terms: 5(-6 + 3x) + -4 = 5(x + -5) + 41 (-6 * 5 + 3x * 5) + -4 = 5(x + -5) + 41 (-30 + 15x) + -4 = 5(x + -5) + 41 Reorder the terms: -30 + -4 + 15x = 5(x + -5) + 41 Combine like terms: -30 + -4 = -34 -34 + 15x = 5(x + -5) + 41 Reorder the terms: -34 + 15x = 5(-5 + x) + 41 -34 + 15x = (-5 * 5 + x * 5) + 41 -34 + 15x = (-25 + 5x) + 41 Reorder the terms: -34 + 15x = -25 + 41 + 5x Combine like terms: -25 + 41 = 16 -34 + 15x = 16 + 5x Solving -34 + 15x = 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. -34 + 15x + -5x = 16 + 5x + -5x Combine like terms: 15x + -5x = 10x -34 + 10x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 10x = 16 + 0 -34 + 10x = 16 Add '34' to each side of the equation. -34 + 34 + 10x = 16 + 34 Combine like terms: -34 + 34 = 0 0 + 10x = 16 + 34 10x = 16 + 34 Combine like terms: 16 + 34 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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