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Simplifying 5(3x + -4) + -5 = 5(x + -5) + 40 Reorder the terms: 5(-4 + 3x) + -5 = 5(x + -5) + 40 (-4 * 5 + 3x * 5) + -5 = 5(x + -5) + 40 (-20 + 15x) + -5 = 5(x + -5) + 40 Reorder the terms: -20 + -5 + 15x = 5(x + -5) + 40 Combine like terms: -20 + -5 = -25 -25 + 15x = 5(x + -5) + 40 Reorder the terms: -25 + 15x = 5(-5 + x) + 40 -25 + 15x = (-5 * 5 + x * 5) + 40 -25 + 15x = (-25 + 5x) + 40 Reorder the terms: -25 + 15x = -25 + 40 + 5x Combine like terms: -25 + 40 = 15 -25 + 15x = 15 + 5x Solving -25 + 15x = 15 + 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. -25 + 15x + -5x = 15 + 5x + -5x Combine like terms: 15x + -5x = 10x -25 + 10x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 10x = 15 + 0 -25 + 10x = 15 Add '25' to each side of the equation. -25 + 25 + 10x = 15 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = 15 + 25 10x = 15 + 25 Combine like terms: 15 + 25 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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